Two points M and N are separated by 300 km. At 8:00 AM, a car leaves M for N at 60 km/h. At 9:00 AM, another car leaves N for M at 90 km/h. At what time will they pass each other? MCQ with Answer and Explanation

Two points M and N are separated by 300 km. At 8:00 AM, a car leaves M for N at 60 km/h. At 9:00 AM, another car leaves N for M at 90 km/h. At what time will they pass each other?
A. 10:40 AM
B. 10:24 AM
C. 10:48 AM
D. 10:36 AM
Answer: Option D
Solution (By JKSSB Mock Tests)
By 9:00 AM, the first car covers 60 km * 1 hour = 60 km. The remaining distance between them is 300 - 60 = 240 km. Relative speed = 60 + 90 = 150 km/h. Time to meet after 9:00 AM = 240 / 150 = 8/5 hours = 1 hour 36 minutes. Meeting time = 9:00 AM + 1 hour 36 minutes = 10:36 AM.

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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. 4:3
B. 16:9
C. 9:16
D. 3:4

Correct Answer: Option A


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
Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?
A. 15 minutes
B. 10 minutes
C. 9 minutes
D. 12 minutes

Correct Answer: Option B


Explanation:
Stoppage time per hour = (Fast Speed - Slow Speed) / Fast Speed = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3
A person walks from home to school at 4 km/h and arrives 5 minutes late. If he runs at 5 km/h, he arrives 4 minutes early. Find the distance.
A. 3.0 km
B. 4.0 km
C. 3.5 km
D. 2.5 km

Correct Answer: Option A


Explanation:
Time difference = 5 - (-4) = 9 minutes = 9/60 = 0.15 hours. Let distance be d. d / 4 - d / 5 = 0.15 => d / 20 = 0.15 => d = 3 km.

This question belongs to: Maths Time Speed and Distance