Two trains 100 meters and 120 meters long are running in the same direction at speeds of 72 km/h and 54 km/h respectively. In how much time will the faster train cross the slower train completely? MCQ with Answer and Explanation

Two trains 100 meters and 120 meters long are running in the same direction at speeds of 72 km/h and 54 km/h respectively. In how much time will the faster train cross the slower train completely?
A. 48 seconds
B. 36 seconds
C. 40 seconds
D. 44 seconds
Answer: Option D
Solution (By JKExamLibrary)
Total distance = 100 + 120 = 220 meters. Relative speed = 72 - 54 = 18 km/h = 5 m/s. Time taken = 220 / 5 = 44 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 15 km/h in still water. If the river current flows at 3 km/h, find the distance covered by the boat downstream in 20 minutes.
A. 5 km
B. 8 km
C. 6 km
D. 7 km

Correct Answer: Option C


Explanation:
Downstream speed = 15 + 3 = 18 km/h. Time = 20 minutes = 20/60 = 1/3 hour. Distance covered = Speed * Time = 18 * (1/3) = 6 km.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
The speeds of two cars are in the ratio 4 : 3. If they cover the same distance, and the slower car takes 2 hours, how much time does the faster car take?
A. 1.2 hours
B. 1.6 hours
C. 1.8 hours
D. 1.5 hours

Correct Answer: Option D


Explanation:
Ratio of speeds = 4:3, so ratio of times taken = 3:4. The slower car corresponds to 4 parts = 2 hours => 1 part = 0.5 hours. Time for the faster car = 3 parts = 3 * 0.5 = 1.5 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A person walks from his home to his office at 3 km/h and reaches 15 minutes late. If he walks at 4 km/h, he reaches 5 minutes late. Find the distance.
A. 2.2 km
B. 2.0 km
C. 2.5 km
D. 1.8 km

Correct Answer: Option B


Explanation:
Time difference = 15 - 5 = 10 minutes = 10/60 = 1/6 hour. Let distance be d. d / 3 - d / 4 = 1/6 => d / 12 = 1/6 => d = 2 km.

This question belongs to: Maths Time Speed and Distance