A legal clerk walks from his residence to the courthouse at 5 km/h and arrives 15 minutes late. If he sets a pace of 7.5 km/h, he arrives 5 minutes early. Find the distance. MCQ with Answer and Explanation
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Question #1
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A cyclist handles 600 meters in exactly 2 minutes. Find his moving velocity in km/h.
Correct Answer: Option A
Explanation:
Time = 2 minutes = 120 seconds. Speed = 600 / 120 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
Time = 2 minutes = 120 seconds. Speed = 600 / 120 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed indices of two sprinters are in the ratio 3 : 4. If the first sprinter requires 24 seconds to wrap up a bend, how much time does the second sprinter require?
Correct Answer: Option B
Explanation:
Ratio of speeds = 3:4, so ratio of times required = 4:3. Given 4 parts = 24 seconds => 1 part = 6 seconds. Time for the second sprinter = 3 parts = 3 * 6 = 18 seconds.
Ratio of speeds = 3:4, so ratio of times required = 4:3. Given 4 parts = 24 seconds => 1 part = 6 seconds. Time for the second sprinter = 3 parts = 3 * 6 = 18 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train 110 meters long is traveling at 60 km/h. How much time will it take to pass a platform 240 meters long?
Correct Answer: Option C
Explanation:
Total distance = 110 + 240 = 350 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 350 / (50/3) = 350 * 3 / 50 = 7 * 3 = 21 seconds.
Total distance = 110 + 240 = 350 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 350 / (50/3) = 350 * 3 / 50 = 7 * 3 = 21 seconds.
This question belongs to:
Maths
Time Speed and Distance
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