Saturday, May 18, 2019

How to Solve problems on Boats and Streams



It contains the techniques to solve the following and other questions:

1.       If a man can row upstream at 10 km/hr and downstream at 16 km/hr. Find the man’s rate in still water and the rate of current.
2.       A man can swim downstream 30 km and upstream 18 km, taking 3 hrs each time. What is the velocity of current.
3.       A man can row 6 km/hr in still water. It takes him twice as long to row up as to row down the river. Find the rate of stream.
4.       A ma can row 6 km/hr in still water. If in a stream which is flowing at 1.2 km hour, it takes him 1 hours to row to a place and back, the distance between the two places is
5.       A man can row 30 km upstream and 44 km downstream in 10 hours. Also he can row 40 km upstream and 55 km downstream in 13 hours. Find the rate of current and the speed of man in still water.
6.       A boat covers 24 km upstream and 36 km downstream n 6 hours. While it covers 36 km upstream and 24 km downstream in 6.5 hours. Find the velocity of current.

7.       If a stream running at 2 km/hr, a motorboat goes 10 km upstream and back again to the starting point in 55 minutes. Find the speed of motorboat in still water. 

Boats & Streams- Worksheet



How to Solve Arithmetic Problems on Trains and Streams



This slide show will help you with the techniques of solving these types of problems:

  • How many seconds will a train 100 m long running at the rate of 36 km/hr take to pass a certain telegraph post.
  • How long does a train 110 m long running at a rate of 36 km/hr take to cross the bridge 132 m in length.
  • Two trains 121 m and 99 m in length respectively are running in opposite direction, one at the rate of 40 km and other at the rate of 32 km/hr. In what time they will completely clear each other from the moment they meet.
  • Two trains 121 m and 99 m in length respectively are running in same direction, one at the rate of 40 km and other at the rate of 32 km/hr. In what time they will completely clear each other from the moment they meet.
  • A train 100 m in length travels at 60 km/hr. In what time will it pass a man who is walking at 6 km an hour a) against it b) in the same direction
  • Two trains are moving in the same direction at 50k/hr and 30 km/hr. The faster train crosses a man in the slower train in 18 seconds. Find the length of the faster train.
  •  A train running at 25 km/hr takes 18 seconds to pass a platform. Next it takes 12 seconds to pass a man walking at 5 km/hr in the opposite direction. Find the length of the train and that of the platform.
  • Two trains start at the same time from Hyderabad and Delhi and proceed towards each other at the rate of 80 km and 95 km/hr respectively. When they meet, it is found that one train has travelled 180 km more than the other. Find the distance between Delhi and Hyderabad.
  • Two trains for Delhi leave Jaipur at 8:30 and at 9:00 am and travel at 60 and 75 km/hr respectively. How many km from Delhi will the two trains meet.
  • Without stoppage, a train travels at an average speed of 75 km/hr and with stoppage it covers the same distance at an average speed of 60 km/hr. How many minutes per hour does the train stop.
  • A train passes by a stationary man standing on a platform in 7 seconds and passes by the platform completely in 28 seconds. If the length of the platform be 330 meters, what is the length of the train.
  • Two stations A and B are 110 km apart on a straight line. One train starts from A at 8 am and travels towards B at 40 km/hr. Another train starts from B at 10 am and travels towards A at 50 km/hr. At what time will they meet.
  • A train 105 meter long moving at a speed of 54 km/hr crosses another train in 6 seconds. Then which of the following is true:
1.       Trains are moving in the same direction
2.       Trains are moving in the opposite direction.
3.       Trains are not moving.
  • Two trains of the same length but with different speeds pass a static pole in 4 seconds and 5 seconds respectively. In what time will they cross each other when they are moving in
1.       The same direction
2.       The opposite direction
  • Two trains of the same speed but with different lengths pass a static pole in 4 seconds and 5 seconds respectively. In what time will they cross each other when they are moving in
1.       The same direction
2.       The opposite direction
  • Two trains of length 100m and 80 m respectively run on parallel lines of rails. When running in the same direction, the faster train passes the slower one in 18 seconds, but when they are moving in opposite direction, they pass each other in 9 seconds. Find the speed of each train.
  • A train overtakes two persons who are walking in the same direction as the train is moving at the rate of 2 km/hr and 4 km/hr and passes them completely in 9 and 10 seconds respectively. Find the speed and direction of the train.
  • A train passes two persons who are walking in the direction opposite to which the train is moving, at the rate of 5 m/s and 10 m/s in 6 sec and 5 sec respectively. Find the length and speed of the trains.
  • A train passes a pole in 15 seconds and passes a platform 100m long in 25 seconds. Find its length
  • A train 100 m long passes a pole in 10 seconds and another train of the same length travelling in opposite direction in 8 seconds. Find the speed of the second train. 



Trains- Worksheet



Friday, May 17, 2019

How to Solve Arithmetic Problems on Time, Speed and Distance




The slide show contains techniques to solve the following types of problems. However, these techniques can be used to solve other type of problems also:

1.       Express a speed of 18 km/hr in m/sec
2.       Express 10 m/sec in km/hr
3.       A man covers a certain distance by a car driving at 70 km/hr and he returns back to the starting point riding on scooter at 55 km/hr. Find his average speed over the whole journey.
4.       A man covers a certain distance between his home and office on scooter. Having an average speed of 30 km/hr, he is late by 10 minutes. However, with a speed of 40 km/hr, he reaches his office 5 minutes earlier. Find the distance between his house and office.
5.       A man walking with a speed of 5 km/hr reaches his home 5 min late. If he walks at a speed of 6 km/hr, he reaches on time. Find the distance between his target and his house.
6.       A boy walking at a speed of 10 km/hr reaches his school 15 minutes late. Next time, he increases his speed by 2 km/hr and is still 5 min late. Find the distance of his school and his house.
7.       A boy goes to school at a speed of 3 km/hr and returns to his village at a speed of 2 km/hr. If he takes 5 hours in all, what is the distance between the village and school.
8.       Running 4/3 of his usual speed, a person improves his timings by 10 minutes. Find his usual time to cover the distance.
9.       A train travelling 25 km/hr leaves Delhi at 9 a.m. Another train travelling 35 km an hour starts at 2 pm in the same direction. How many km from Delhi will the two trains be together.
10.   A motor car does a journey in 10 hours, the first half at 21 km/hr and the second half at 24 km/hr. Find the distance.
11.   The distance between two stations Delhi and Amritsar is 150 km. A train starts at 4.00 pm from Delhi and moves towards Amritsar at an average speed of 60 km/hr. Another train starts from Amritsar at 3.20 pm and moves towards Delhi at an average speed of 80 km/hr. How far from Delhi will the two trains meet and when.
12.   Walking 3/4th of his usual speed, a person is 10 minutes late of his office. Find his usual time to cover the distance
13.   Two men A and B walk from P to Q, a distance of 21 km, at  3 km and 4 km per hour respectively. B reaches Q, returns immediately and meets A and R. Find the distance from P to R.
14.   A man sets out to cycle from Delhi to Rohtak and at the same time another man starts from Rohtak to cycle to Delhi. After passing each other, they complete their journeys in 3 1/3 and 4 4/5 hours respectively. At what rate does the second man cycle if the first cycles at 8 km/hr.
15.   ----------=
16.   A carriage driving in a fog passed a man who is walking at a rate of 3 km/hr in the same direction. He could see he carriage for 4 minutes and it was visible to him upto a distance of 100m. What was the speed of the carriage.
17.   A monkey tries to ascend a greased pole 14 meters high. He ascends 2 meters in the first minute and slips down 1 meter in the alternate minute. If he continues to ascend in this fashion, how long does he take to reach the top.
18.   Two cars run to a place at the speeds of 45 km/hr and 60 km/hr respectively. If the second car takes 5 hrs less than the first for the journey, find the length of the journey.
19.   A man takes 8 hours to walk to a certain place and ride back. However, he could have gained 2 hours, he had covered both ways by riding. How long would he have taken to ride both ways.  
20.   A man takes 12 hours to walk to a certain place and ride back. However, if he walks both the ways, he needs 3 hours more. How long would he have taken to ride both ways.
21.   Two trains for Patna leave Delhi at 10 am and 10.30 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Delhi will the two trains be together.
22.   A man leaves a point P at 6 am and reaches the point Q at 10 am. Another man leaves the point Q at 8 am and reaches the point P at 12 noon. At what time do they meet.
23.   A train leaves Patna at 5 am and reaches Delhi at 9 am. Another train leaves Delhi at 6.30 am and reaches Patna at 10 am. At what time do the two trains meet.
24.   A person has to cover a distance of 80 km in 10 hours. If he covers half the journey in 3/5 of the time, what should be his speed to cover the remaining distance in the time left.
25.   A person covers a distance in 40 minutes. If he runs at a speed of 45 km/hr on an average. Find the speed, at which he must run to reduce the time of journey to 30 minutes.
26.   Without any stoppage, a person travels a certain distance at an average speed of 80 kmph, and with stoppage, he covers the same distance at an average speed of 60 kmph. How many minutes/hr does he stop.
27.   A man travels 360 km in 4 hrs, partly by air, and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he was in train and would have arrived at his destination 2 hours early. Find the time he travelled by air and train.
28.   A man rode out a certain distance by train at the rate of 25 km/hr and walked back at the rate of 4 km/hr. The whole journey took 5 hours and 48 minutes, what distance did he ride.
29.   A train left station A for station B at a certain speed. After travelling for 100 km, the train meets with an accident and could travel at 4/5th of the usual speed and reaches 45 minutes late at station B. Had the accident takes place 50 km further on, it would have reached 30 min late at station B. What is the distance between station A and B.




Time & Distance- Worksheet

Sunday, April 28, 2019

Saturday, April 27, 2019

HCF & LCM -Worksheet


Work Sheet Fractions


How to Solve Arithmetic Problems on HCF & LCM

Please wait for the slide show to get loaded.

HCF & LCM

Please wait for slide show to get loaded. 

Tuesday, April 23, 2019

Recurring Decimals

Recurring Decimals- Please wait for the slide show to load

Number System

Number System- Please wait for the slide show to load. 

Mixed Fractions

Mixed Fractions- Please wait for Slide Show to upload

Monday, April 22, 2019

How to Test the Divisibility of a Number


How to Multiply two three-digit Numbers

How to Multiply two three-digit Numbers- Please wait for the slide show to load


How to multiply two two-digit numbers

How to multiply two two-digit numbers- Please wait for the slide show to load

How to Find the Square of Two Digit Numbers

How to Find the Square of Two Digit Numbers- Please wait for the slide show to load

How to find the Cube of Two Digit Numbers

How to find the Cube of Two Digit Numbers ( Please wait for Slide Show to load)

How to Compare Fractions

How to Compare Fractions Please wait for the slide show to load)

Mathscript

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