Formulae
1. Speed, Time and Distance
Speed = (Distance/Time)
Time = (Distance/Speed)
Distance = (Speed x Time).
2. km per hr to m per sec conversion x km/hr = (x*5/18) m/sec.
3. m/sec to km/hr conversion x m/sec = (x *18/5) km/hr.
Exercise : Time and Distance MCQ Questions and Answers
Question 1
A man can row a boat 10 km/hr in still water. When the speed of the stream is 4 km/hr, it takes 30 hours to row to a certain place and come back. How far is the place ?
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Correct Answer : D. 126 km
Description :
D = 30x(100-16)/2x10
= 30x84/20
= 126 km
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Question 2
A train covers a distance in 50 minutes, if it runs at a speed of 48 km per hour on a average. The speed at which the train must run to reduce the time of journey to 40 minutes, will be:
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Correct Answer : C. 60 km/hr
Description :
Speed (S) = 48 kmph.
Time (T) = 50 min = 50/60 = 5/6 hours.
New Speed = s (let).
New Time (t) = 40 min = 40/60 = 2/3 hours.
A _______________________D_________________________B
When distance is constant, Time is inversely proptional to speed.
S/s = t/T
48 /s = (2/3)/(5/6)
48/s = 4/5
4s = 48 *5
s = (48 *5)/ 4 = 60 kmph.
Alternatively, You can find distnace covered in both case using formula ST = D. As Distance is same in both cases, you shoud equate ditance to get the value of new Speed.
Question 3
A man can row 8 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. How far is the place?
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Correct Answer : B. 7.5 km
Description :
Man's rate down stream = 8 + 2 = 10 kmph
Man's rate upstream = 8 - 2 = 6 kmph
Let the required distance be X km
Then X/10 + X/6 = 2
3X + 5X = 60
8X = 60
X = 7.5 km
Question 4
A man swims a certain distance downstream in 5 hours and returns the same distance in 10 hours. The rate of stream flow is 2 kmh'. Then what is the speed of the man in still water ?
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Correct Answer : A. 6 km/h
Description :
Let the speed of the man in still water be kmh
Speed upstream = (x - 2) kmh
and speed downstream = (x - 2) kmh
Up and down journey are equal.
(x - 2)5 = 1x - 2110
5x + 10 = 10x - 20x
= 30/5
= 6 kmh
Question 5
Two trains start at the same time from Aligarh and Delhi and proceed towards each other at 16km/hr and 21km/hr respectively, When they meet, it is found that one train has travelled 60 km more than th
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Correct Answer : A. 444km
Description :
No answer description available for this question. Let us discuss.
Question 6
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
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Correct Answer : A. 600 m
Description :
Distance covered by Amar = 18/4.8 (1.6km) = 3/8(1600) = 600 m
Question 7
The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college
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Correct Answer : D. 20 km/h
Description :
No answer description available for this question. Let us discuss.
Question 8
A train 150 m long passes an electric pole in 5s. How long will it take to cross a bridge of 180 m length?
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Correct Answer : A. 11s
Description :
Speed of train = (150/5) = 30 m/s
Time taken to cross bridge = (150+180)/30 = 330/30 = 11 s
Question 9
A man is running at a speed 90 km/h. What distance will it cover in 20 seconds?
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Correct Answer : B. 500 m
Description :
No answer description available for this question. Let us discuss.
Question 10
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
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Correct Answer : A. 10
Description :
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = 9/54 * 60 = 10 min.