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Time - Speed and Distance
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Time - Speed and Distance
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1. Directions : The cost of fuel running the engine of an army tank is proportional to the square of the speed and Rs. 64 per hour for a speed of 16 kmph. Other costs amount to Rs. 400 per hour. The tank has to make a journey of 400 km at a constant speed. - The total cost for the journey at this most economical speed is :
2. A 280 metre long train moving with an average speed of 108 km/hr crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man in metre/second ?
3. 10. A man walked at a speed of 4 km/hr from point A to B and came back from point B to A at the speed of 6 km/hr. What would be the ratio between the time taken by man in walking from point A to B to point B to A respectively ?
4. A car covers the first 39 km. of it-™s journey in 45 minutes and covers the remaining 25 km. in 35 minutes. What is the average speed of the car ?
5. A can walk a certain distance in 10 days when he rests 9 hours a day. How long will he take to walk twice the distance - twice as fast and rests twice as long each day ?
6. Philip - Tom and Brad start jogging around a circular field and - complete a single round in 18 - 22 and 30 seconds respectively. In how much time will they meet again at the starting point ?
7. A boat running at the speed of 34 kmph downstream covers a distance of 4.8 kms. in 8 minutes. The same boat while running upstream at same speed covers the same distance in 9 minutes. What is the speed of the current?
8. Train -A crosses a stationary train-B in 50 seconds and a pole in 20 seconds with the same speed. The length of the train -A is 240 metres. What is the length of the stationary Train-B?
9. The distance between two points is 36 km. A boat rows in still water at 6 kmph. It takes 8 hours less to cover this distance in downstream in comparison to that in upstream. The rate of stream is
10. A car covers a distance of 540km in 9 hours. Speed of a train is double the speed of the car. Two-third of the speed of the train is equal of a bike. How much distance will the bike cover in 5 hours ?'
11. A bus covered a certain distance from village A to village B at the speed of 60 km./hr. However on its return journey it got stuck in traffic and covered the same distance at the speed of 40 km/ hr. and took 2 hours more to reach its destination. What Is the distance covered between village A and B ?
12. A 222 metre long train crosses a pole in 6 seconds. The same train crosses a man running in the same direction in 10 seconds. What will be the speed of man ?
13. Prem and Shyam decide to go on a trip to point Y on a particular day from point X. Prem leaves for point Y at 11 : 00 am - at speed of 72 km/hour. Shyam leaves for point Y at 11: 30 same day as Prem left. At what speed should Shyam travel to catch up with Prem in 4 hours ? (in km/hour)
14. A train speeds past a pole in 20 seconds and speeds past a platform 100 metres in length in 30 seconds. What is the length of the train ?.
15. A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time - it had to increase the speed by 250 km/hr from the usual speed. Its usual speed is:
16. If a student walks from his house to school at 5 km/hr - he is late by 30 minutes. However - if he walks at 6 km/hr - he islate by 5 minutes only. The distance of his school from his house is.
17. A person has to travel from point B in certain time. Travelling at a speed of 5 kmph he reaches 48 minutes late and while travelling at a speed of 8 kmph he reaches 15 minutes early. What is the distance from point A to point B ?
18. A 300 metre long train moving with an average speed of 126 km/hr. crosses a platform in 24 seconds. A man crosses the same platform in 5 minutes. What is the speed of man in metre/second ?
19. Samir drove at the speed of 45 kmph. from home to a resort. Returning over the same route he got stuck in traffic and took an hour longer - also he could drive only at the speed of 40 kmph. How many kilometres did he drive each way ?
20. The respective ratio between the speed of a car - a jeep and tractor is 3 : 5 : 2. The speed of the jeep is 250 percent of the speed of the tractor which covers 360 km in 12 hours. What is the average speed of car and jeep together ?
21. A car covers its journey at the speed of 80 km/hour in 10 hours. If the same distance is to be covered in 4 hours - by how much the speed of car will have to increase ?
22. Sunil left for city -˜x-™ from city 'y' at 5.50a.m. He travelled at the speed of 80 km/hr. for 2 hours15minutes. After that the speed was reduced to 60 km/hour. If the distance between tyro cities is 350 kms at what time did Sunil reach the city -˜Y-™?
23. Train-A crosses a pole in 25 seconds and another Train-B crosses a pole in 1 minute and 15 seconds. Length of train-A is half length of train-B. What is the respective ratio between the speed of Train-A and Train-B ?
24. Two cars starts at the same time from A and B which is 120 km apart. If the two cars travel in opposite direction they meet after one hour and if they travel in same direction (from A towards B) then A meet B after 6 hours. What is the speed of car starting from A?
25. Two stations - A and B are 850 km apart from each other. One train starts from station A at 5 am and travels towards station B at 62 kmph. Another train starts from station B at 7 am and travels towards station A at 59 kmph. At what time will they meet ?

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