Time and Distance
Time and Distance - Important Points
| 16. | Excluding stoppages, the speed of a bus is 45 kmph and including stoppages it is 36 kmph. For how many minutes does the bus stop per hour? |
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A. 13 min
B. 15 min
C. 12 min
D. 10 min
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Due to stoppages it covers 9 km less per hour.
Time taken to cover 9 km = (9/45 x 60) minutes = 12 mins
| 17. | By walking at 3/4th of his usual speed, a man reaches office 20 minutes late. What is his usual time? |
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A. 2 hour
B. 3 hours
C. 4 hours
D. 1 hours
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Let d be the distance he covers, s be the usual speed and t be the time he takes to cover the distance.
We know that d = s x t …(1)
Also, by walking 3/4 of the usual speed, his new speed = 3s/4 the time taken is 20 minutes more, that is 1/3 hour more.
=> d = 3s/4 x ( t + 1/3 ) …(2)
Comparing (1) and (2), we get st = 3s/4 x ( t + 1/3)
=> t = 3/4 x (t + 1/3)
=> 4t = 3 (t + 1/3)
=> 4t = 3t + 1
=> 4t – 3t = 1
=> t = 1 hr
| 18. | Two trains are travelling opposite to each other at a speed of 120 kmph and 80 kmph unfortunately on same track, if the distance between them is 400 km, at 3:30pm, at what time the two trains will collide each other? |
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A. 5.45 AM
B. 4.30 PM
C. 5.30 PM
D. 5.15 PM
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Given, Speeds of train = 120 kmph and 80 kmph
Distance = 400 km at time = 3:30 pm
Relative speed = 120 + 80 = 200 kmph
Time = distance / speed = 400/200 = 2 hrs (after 3:30pm)
At 5:30 pm, the collision will take place
| 19. | Two trains, one from Howrah to Delhi and the other from Delhi to Howrah, starts simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours, respectively. The ratio of their speeds is? |
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A. 2:3
B. 4:3
C. 6:7
D. 9:16
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Formula Used:- If two trains start at the same time from points A and B towards each other and after crossing they take a and b hours in reaching B and A respectively, then:
Ratio of their speeds is (A's speed) : (B's speed) = (vb : va)
Given, a = 9 hours, b = 16 hours
Ratio of their speeds = (A's speed) : (B's speed) = vb : va = v16 : v9 = 4 : 3.
| 20. | Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? |
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A. 9 a.m.
B. 10 a.m.
C. 10.30 a.m.
D. 11 a.m.
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Suppose they meet x hours after 7 a.m. Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
=> 45x = 135
=> x = 3
So, they meet at 10 a.m.
Time and Distance Questions and Answers FAQ
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