A train covers a distance between two stations in 45 minutes. If its speed is reduced by 5 km/h, it covers the same distance in 48 minutes. Find the distance between the two stations. MCQ with Answer and Explanation

A train covers a distance between two stations in 45 minutes. If its speed is reduced by 5 km/h, it covers the same distance in 48 minutes. Find the distance between the two stations.
A. 50 km
B. 72 km
C. 80 km
D. 60 km
Answer: Option D
Solution (By JKSSB Mock Tests)
Let initial speed be s. Distance is constant, so s * (45/60) = (s - 5) * (48/60) => 45s = 48s - 240 => 3s = 240 => s = 80 km/h. Distance = 80 * (45/60) = 60 km.

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Practice More Time Speed and Distance Questions

Question #1
A person travels from P to Q at a speed of 30 km/h and returns from Q to P at a speed of 40 km/h. What is the ratio of time taken by him in the forward journey to that in the return journey?
A. 3:4
B. 16:9
C. 9:16
D. 4:3

Correct Answer: Option D


Explanation:
Since distance is constant, time is inversely proportional to speed. Ratio of times = Speed2 : Speed1 = 40 : 30 = 4:3.

This question belongs to: Maths Time Speed and Distance
Question #2
A man rows downstream 40 km in 4 hours and upstream 24 km in 4 hours. What is the speed of the stream?
A. 1 km/h
B. 3 km/h
C. 2 km/h
D. 4 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A person walks from his home to his office at 5 km/h and reaches 10 minutes late. If he walks at 6 km/h, he reaches 2 minutes late. Find the distance.
A. 4.0 km
B. 3.5 km
C. 5.0 km
D. 4.5 km

Correct Answer: Option A


Explanation:
Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hour. Let distance be d. d / 5 - d / 6 = 2/15 => d / 30 = 2/15 => d = 4 km.

This question belongs to: Maths Time Speed and Distance