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. MCQ with Answer and Explanation

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. 100 km/h
B. 140 km/h
C. 120 km/h
D. 150 km/h
Answer: Option C
Solution (By JKExamLibrary)
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

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A truck covers a distance of 240 km in 4 hours. How much time will it take to cover a distance of 180 km at the same speed?
A. 2.5 hours
B. 3.0 hours
C. 3.5 hours
D. 4.0 hours

Correct Answer: Option B


Explanation:
Speed of truck = 240 / 4 = 60 km/h. Time taken for 180 km = 180 / 60 = 3 hours.

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Question #2 Report Error
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. 12 minutes
B. 15 minutes
C. 10 minutes
D. 8 minutes

Correct Answer: Option C


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 Report Error
A boat can row 13 km/h in still water and the speed of the current is 3 km/h. Find the time taken to row 48 km downstream.
A. 3.0 hours
B. 3.5 hours
C. 4.0 hours
D. 2.5 hours

Correct Answer: Option A


Explanation:
Downstream speed = 13 + 3 = 16 km/h. Time taken = 48 / 16 = 3 hours.

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