A train 120 meters long passing a warehouse platform 280 meters long takes exactly 20 seconds. Find the velocity index of the train in km/h. MCQ with Answer and Explanation
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Question #1
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A man can walk a certain distance in 6 hours and ride back in 2 hours. If he rides both ways, he will save 2 hours. How much time will he take if he walks both ways?
Correct Answer: Option A
Explanation:
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A merchant van covers 120 km at 40 km/h, 180 km at 60 km/h and 100 km at 50 km/h. Find the net average speed.
Correct Answer: Option C
Explanation:
Total distance = 120 + 180 + 100 = 400 km. Total time = (120/40) + (180/60) + (100/50) = 3 + 3 + 2 = 8 hours. Average speed = 400 / 8 = 50 km/h.
Total distance = 120 + 180 + 100 = 400 km. Total time = (120/40) + (180/60) + (100/50) = 3 + 3 + 2 = 8 hours. Average speed = 400 / 8 = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train 120 meters long passes a track worker walking at 6 km/h in the same direction in 12 seconds. What is the actual speed of the train?
Correct Answer: Option D
Explanation:
Relative speed = 120 / 12 = 10 m/s = 10 * (18/5) = 36 km/h. Since they move in the same direction, Relative Speed = Speed of train - Speed of worker => 36 = Speed of train - 6 => Speed of train = 42 km/h.
Relative speed = 120 / 12 = 10 m/s = 10 * (18/5) = 36 km/h. Since they move in the same direction, Relative Speed = Speed of train - Speed of worker => 36 = Speed of train - 6 => Speed of train = 42 km/h.
This question belongs to:
Maths
Time Speed and Distance
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