A man starts walking from a place P at 4 AM at a speed of 5 km/h. Another man starts from the same place P at 6 AM in the same direction at a speed of 7 km/h. At what time will they meet? MCQ with Answer and Explanation

A man starts walking from a place P at 4 AM at a speed of 5 km/h. Another man starts from the same place P at 6 AM in the same direction at a speed of 7 km/h. At what time will they meet?
A. 12:00 PM
B. 11:00 AM
C. 10:00 AM
D. 1:00 PM
Answer: Option B
Solution (By JKExamLibrary)
By 6:00 AM, the first man has traveled for 2 hours, covering 5 * 2 = 10 km. Relative speed = 7 - 5 = 2 km/h. Time to meet = 10 / 2 = 5 hours. Meeting time = 6:00 AM + 5 hours = 11:00 AM.

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Practice More Time Speed and Distance Questions

Question #1
The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A. 87.5 km/h
B. 70 km/h
C. 84 km/h
D. 75 km/h

Correct Answer: Option A


Explanation:
Speed of second train = 400 / 4 = 100 km/h. Ratio is 7:8, so 8 parts = 100 km/h. 1 part = 12.5 km/h. First train speed = 7 parts = 7 * 12.5 = 87.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
Excluding stoppages, a transit truck travels at 75 km/h and including stoppages it travels at 62.5 km/h. How many minutes does the truck stop per hour?
A. 8 minutes
B. 15 minutes
C. 12 minutes
D. 10 minutes

Correct Answer: Option D


Explanation:
Stoppage time per hour = (75 - 62.5) / 75 = 12.5 / 75 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3
The speed index tracking profile of an express locomotive is exactly 20% higher than a commercial car. Both take off from terminal M together and reach terminal N, 120 km away, at the same instant. On the corridor route, the train logs a total stall of 10 minutes at intermediate stations. Find the car speed.
A. 140 km/h
B. 120 km/h
C. 100 km/h
D. 150 km/h

Correct Answer: Option B


Explanation:
Let car speed be c, then train tracking speed is 1.2c. Time difference parameter = 120/c - 120/(1.2c) = 10/60 hours = 1/6 hours. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.

This question belongs to: Maths Time Speed and Distance