A cargo train running at 64 km/h overtakes a cyclist riding at 10 km/h in the same direction in 10 seconds. Find the length of the train. MCQ with Answer and Explanation

A cargo train running at 64 km/h overtakes a cyclist riding at 10 km/h in the same direction in 10 seconds. Find the length of the train.
A. 180 meters
B. 160 meters
C. 140 meters
D. 150 meters
Answer: Option D
Solution (By JKExamLibrary)
Relative speed = 64 - 10 = 54 km/h = 54 * (5/18) = 15 m/s. Length of train = Relative speed * Time = 15 * 10 = 150 meters.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Excluding institutional stops, the speed of an intercity coach is 72 km/h and including stops it is 60 km/h. For how many minutes does the coach stop per hour?
A. 8 minutes
B. 10 minutes
C. 15 minutes
D. 12 minutes

Correct Answer: Option B


Explanation:
Stoppage time per hour = (72 - 60) / 72 = 12 / 72 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A swimmer logs 36 km downstream in 3 hours and tracks the identical course line upstream in 9 hours. Find the net velocity of the stream.
A. 4.0 km/h
B. 4.5 km/h
C. 3.5 km/h
D. 5.0 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 36 / 9 = 4 km/h. Speed of stream current = (12 - 4) / 2 = 8 / 2 = 4 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A man covers half of his journey at 40 km/h and the remaining half at 60 km/h. What is his average speed?
A. 50 km/h
B. 54 km/h
C. 52 km/h
D. 48 km/h

Correct Answer: Option D


Explanation:
Average Speed = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

This question belongs to: Maths Time Speed and Distance