A train 270 meters long is moving at a speed of 120 km/h. In how much time will it cross a man coming from the opposite direction at a speed of 15 km/h? MCQ with Answer and Explanation

A train 270 meters long is moving at a speed of 120 km/h. In how much time will it cross a man coming from the opposite direction at a speed of 15 km/h?
A. 6.8 seconds
B. 7.2 seconds
C. 7.8 seconds
D. 8.4 seconds
Answer: Option B
Solution (By JKExamLibrary)
Relative speed = 120 + 15 = 135 km/h = 135 * (5/18) = 37.5 m/s. Time = Distance / Speed = 270 / 37.5 = 7.2 seconds.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A boat can row 10 km/h in still water. If the river velocity is 2 km/h, find the distance covered downstream by the boat in 30 minutes.
A. 7 km
B. 8 km
C. 5 km
D. 6 km

Correct Answer: Option D


Explanation:
Downstream speed = 10 + 2 = 12 km/h. Time = 30 minutes = 0.5 hour. Distance covered = Speed * Time = 12 * 0.5 = 6 km.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter?
A. 8:00 PM
B. 7:30 PM
C. 9:00 PM
D. 8:30 PM

Correct Answer: Option A


Explanation:
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A car maps a course distance of 240 km at an average speed of 60 km/h and handles the return trip at 40 km/h. Find the combined average speed.
A. 50 km/h
B. 48 km/h
C. 52 km/h
D. 46 km/h

Correct Answer: Option B


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

This question belongs to: Maths Time Speed and Distance