A cyclist covers a distance of 750 meters in 2 minutes 30 seconds. What is the speed of the cyclist in km/h? MCQ with Answer and Explanation
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Question #1
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A train passes a static observer in 10 seconds and a platform 150 meters long in 16 seconds. Find the length of the train.
Correct Answer: Option D
Explanation:
Time to cross the platform alone = 16 - 10 = 6 seconds. Speed of train = 150 / 6 = 25 m/s. Length of train = Speed * Time to pass observer = 25 * 10 = 250 meters.
Time to cross the platform alone = 16 - 10 = 6 seconds. Speed of train = 150 / 6 = 25 m/s. Length of train = Speed * Time to pass observer = 25 * 10 = 250 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A man can row 9 km/h in still water. He rows to a place 24 km away and back in a total of 6 hours. Find the speed of the river current.
Correct Answer: Option D
Explanation:
Let speed of current be c. 24 / (9 + c) + 24 / (9 - c) = 6. Dividing by 6: 4 / (9 + c) + 4 / (9 - c) = 1 => 4(9 - c + 9 + c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.
Let speed of current be c. 24 / (9 + c) + 24 / (9 - c) = 6. Dividing by 6: 4 / (9 + c) + 4 / (9 - c) = 1 => 4(9 - c + 9 + c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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In a 100-meter race, A can beat B by 10 meters and C by 19 meters. In a race of 90 meters, by how many meters can B beat C?
Correct Answer: Option B
Explanation:
When A covers 100m, B covers 90m and C covers 81m. This means in a distance where B covers 90 meters, C covers 81 meters. Therefore, B beats C by 90 - 81 = 9 meters.
When A covers 100m, B covers 90m and C covers 81m. This means in a distance where B covers 90 meters, C covers 81 meters. Therefore, B beats C by 90 - 81 = 9 meters.
This question belongs to:
Maths
Time Speed and Distance
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