Two sprinters race on a 200-meter straight track. The ratio of their speeds is 4 : 5. When the winner crosses the finish line, how far away from the tape is the slower sprinter? MCQ with Answer and Explanation
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Question #1
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Two trains 120 meters and 130 meters long are running in opposite directions at speeds of 45 km/h and 45 km/h respectively. In what time will they cross each other?
Correct Answer: Option D
Explanation:
Total distance = 120 + 130 = 250 meters. Relative speed in opposite directions = 45 + 45 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.
Total distance = 120 + 130 = 250 meters. Relative speed in opposite directions = 45 + 45 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train passes a static observer in 8 seconds and a platform 120 meters long in 14 seconds. Find the length of the train.
Correct Answer: Option A
Explanation:
Time to cross the platform alone = 14 - 8 = 6 seconds. Speed of train = 120 / 6 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 8 = 160 meters.
Time to cross the platform alone = 14 - 8 = 6 seconds. Speed of train = 120 / 6 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 8 = 160 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man can walk at 6 km/h. After every kilometer, he takes a rest of 6 minutes. How much time will he take to cover a distance of 18 km?
Correct Answer: Option A
Explanation:
Pure walking time = 18 / 6 = 3 hours. Number of rest intervals = 18 - 1 = 17 intervals. Total rest time = 17 * 6 = 102 minutes = 1 hour 42 minutes. Total time = 3 hours + 1 hour 42 minutes = 4 hours 42 minutes.
Pure walking time = 18 / 6 = 3 hours. Number of rest intervals = 18 - 1 = 17 intervals. Total rest time = 17 * 6 = 102 minutes = 1 hour 42 minutes. Total time = 3 hours + 1 hour 42 minutes = 4 hours 42 minutes.
This question belongs to:
Maths
Time Speed and Distance
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