Two trains of equal length cross a pole in 12 seconds and 18 seconds respectively. If the length of each train is 180 meters, find the time taken by them to pass each other when running in opposite directions. MCQ with Answer and Explanation

Two trains of equal length cross a pole in 12 seconds and 18 seconds respectively. If the length of each train is 180 meters, find the time taken by them to pass each other when running in opposite directions.
A. 16.0 seconds
B. 14.4 seconds
C. 15.6 seconds
D. 13.2 seconds
Answer: Option B
Solution (By JKExamLibrary)
Speed of first train = 180 / 12 = 15 m/s. Speed of second train = 180 / 18 = 10 m/s. Total distance to cross = 180 + 180 = 360 meters. Relative speed in opposite directions = 15 + 10 = 25 m/s. Time taken = 360 / 25 = 14.4 seconds.

This question belongs to: Maths Time Speed and Distance

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Question #1 Report Error
A runner covers a circular path of radius 70 meters in 44 seconds. What is his speed in km/h?
A. 36 km/h
B. 45 km/h
C. 40 km/h
D. 30 km/h

Correct Answer: Option A


Explanation:
Circumference of circular path = 2 * (22/7) * 70 = 440 meters. Speed = 440 / 44 = 10 m/s. In km/h = 10 * (18/5) = 36 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A cyclist covers 500 meters in 2 minutes. What is his speed in km/h?
A. 12 km/h
B. 16 km/h
C. 18 km/h
D. 15 km/h

Correct Answer: Option D


Explanation:
Time = 2 minutes = 120 seconds. Speed = 500 / 120 = 25/6 m/s. In km/h = (25/6) * (18/5) = 5 * 3 = 15 km/h.

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Question #3 Report Error
Excluding stoppages, the speed of a train is 80 km/h and including stoppages, it is 60 km/h. For how many minutes does the train stop per hour?
A. 15 minutes
B. 12 minutes
C. 20 minutes
D. 18 minutes

Correct Answer: Option A


Explanation:
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (80 - 60) / 80 = 20 / 80 = 1/4 hour. Converting to minutes = (1/4) * 60 = 15 minutes.

This question belongs to: Maths Time Speed and Distance