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
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Question #1
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A thief escapes from police custody at 1:00 PM running at 45 km/h. The police discover the escape at 1:20 PM and start chasing him at 60 km/h. At what time will the police catch the thief?
Correct Answer: Option B
Explanation:
In 20 minutes (1/3 hour), the thief covers 45 * (1/3) = 15 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 15 / 15 = 1 hour. Catching time = 1:20 PM + 1 hour = 2:20 PM.
In 20 minutes (1/3 hour), the thief covers 45 * (1/3) = 15 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 15 / 15 = 1 hour. Catching time = 1:20 PM + 1 hour = 2:20 PM.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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An athlete runs a 200-meter race in 24 seconds. Find his speed in km/h.
Correct Answer: Option B
Explanation:
Speed in m/s = 200 / 24 = 25/3 m/s. To convert to km/h, multiply by 18/5. Speed = (25/3) * (18/5) = 5 * 6 = 30 km/h.
Speed in m/s = 200 / 24 = 25/3 m/s. To convert to km/h, multiply by 18/5. Speed = (25/3) * (18/5) = 5 * 6 = 30 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat moves upstream at a pace of 10 km/h and handles downstream at 16 km/h. Find the speed of the river current.
Correct Answer: Option A
Explanation:
Speed of river current = (Downstream speed - Upstream speed) / 2 = (16 - 10) / 2 = 6 / 2 = 3 km/h.
Speed of river current = (Downstream speed - Upstream speed) / 2 = (16 - 10) / 2 = 6 / 2 = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
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