A locomotive express train passes a milestone column track point in 10 seconds flat. If the speed index of the train records at 54 km/h, find the length of the train layout. MCQ with Answer and Explanation

Question

A locomotive express train passes a milestone column track point in 10 seconds flat. If the speed index of the train records at 54 km/h, find the length of the train layout.

A. 165 meters

B. 150 meters

C. 180 meters

D. 135 meters

Answer: Option B

Solution (By JKSSB Mock Tests)

Speed of train = 54 * (5/18) = 15 m/s. Length of train layout = Speed * Time = 15 * 10 = 150 meters.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A bus runs at 40 km/h for 2 hours and 50 km/h for the next 3 hours. Find the average speed of the bus for the total journey.

A. 48 km/h

B. 46 km/h

C. 45 km/h

D. 47 km/h

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Correct Answer: Option B

Explanation:
Distance 1 = 40 * 2 = 80 km. Distance 2 = 50 * 3 = 150 km. Total distance = 230 km. Total time = 2 + 3 = 5 hours. Average speed = 230 / 5 = 46 km/h.

This question belongs to: Maths Time Speed and Distance

Question #2

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A person walks from home to school at 5 km/h and arrives 6 minutes late. If he runs at 6 km/h, he arrives 4 minutes early. Find the distance.

A. 5.0 km

B. 6.0 km

C. 4.5 km

D. 5.5 km

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Correct Answer: Option A

Explanation:
Time difference = 6 - (-4) = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.

This question belongs to: Maths Time Speed and Distance

Question #3

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A fugitive breaks out at 3:00 PM moving at 48 km/h. The squad pursues from the same point at 4:30 PM at 64 km/h. At what time will the squad catch the fugitive?

A. 8:30 PM

B. 9:30 PM

C. 9:00 PM

D. 10:00 PM

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Correct Answer: Option C

Explanation:
By 4:30 PM, the fugitive has traveled for 1.5 hours, covering 48 * 1.5 = 72 km. Relative speed = 64 - 48 = 16 km/h. Time to catch = 72 / 16 = 4.5 hours. Catching time = 4:30 PM + 4.5 hours = 9:00 PM.

This question belongs to: Maths Time Speed and Distance

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