TIME AND DISTANCE PROBLEMS
1. A car travels a distance of 45 kms at the speed of 15 kmph. It covers the next 50 kms of its journey at the speed of 25 kmph and the last 25 kms of its journey at the speed of 10 kmph. What is the average speed of the car?
(a) 16 kmph (b) 24 kmph (c) 15 kmph (d) 18 kmph
2.A 200 meter long train crosses a platform double its length in 36 seconds. What is the speed of the tra0in in km/hr ?
(a) 60 (b) 48 (c) 64 (d) 66
3. Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed of the bus is 48 km/hr. For how many minutes does the bus stop per hour?
(a) 12.5 minutes (b) 15 minutes (c) 10 minutes (d) 18 minutes
4. A car covers a distance of 540 km in 9 hours. Speed of a train is double the speed of the car. Two-third the speed of the train is equal to the speed of a bike. How much distance will the bike cover in 5 hours ?
(a) 450 km (b) 360 km (c) 400 km (d) 500 km
5. A 300 meter 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 the man in meters/second
(a) 1.8 m/s (b) 1.2 m/s (c) 1.5 m/s (d) Cannot be determined
6. Train A crosses a stationary train B in 35 seconds and a pole in 14 seconds with the same speed. The length of the train A is 280 meters. What is the length of the stationary train B ?
(a) 420 meters (b) 480 meters (c) 400 meters (d) Cannot be determined
7. On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
(a) 10 km/h (b) 30 km/h (c) 5 km/h (d) 20 km/h
8. A man rides a horse at the rate of 11 miles an hour, but stops for 5 min to change horse at the end of every seventh mile. How long will he take to cover a distance of 96 miles ? (Approx.)
(a) 7 hr. 20 min. (b) 6 hr. 25 min. (c) 8 hr. 42 min. (d) 9 hr. 48 min.
9. A man starts from B to K and another from K to B at the same time. After passing each other they complete their journeys in 3 1 3 and 4 4 5 hours, respectively. Find the speed of the second man if the speed of the first is 12 km/hr.
(a) 12.5 kmph (b) 10 kmph (c) 12.66 kmph (d) 20 kmph
10. A monkey ascends a greased pole 12 meters high. He ascends 2 meters in the first minute and slips down 1 meter in the next minute and so on . In which minute does it he reaches the top?
(a) 21st (b) 22nd (c) 23rd (d) 24th
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