A train 150 meters long passes a platform 250 meters long in 20 seconds. Find the speed of the train in km/h. MCQ with Answer and Explanation
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Question #1
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A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours 30 minutes. Find the speed of the boat in still water.
Correct Answer: Option A
Explanation:
Let 1/u = x and 1/d = y. 24x + 28y = 6 and 30x + 21y = 6.5. Solving these linear equations gives x = 1/6 and y = 1/14. So upstream speed u = 6 km/h, downstream speed d = 14 km/h. Speed in still water = (d + u)/2 = (14 + 6)/2 = 10 km/h.
Let 1/u = x and 1/d = y. 24x + 28y = 6 and 30x + 21y = 6.5. Solving these linear equations gives x = 1/6 and y = 1/14. So upstream speed u = 6 km/h, downstream speed d = 14 km/h. Speed in still water = (d + u)/2 = (14 + 6)/2 = 10 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A car covers a certain distance at an average speed of 48 km/h in 5 hours. At what speed must it travel to cover the same distance in 4 hours?
Correct Answer: Option C
Explanation:
Distance = 48 * 5 = 240 km. New required speed = 240 / 4 = 60 km/h.
Distance = 48 * 5 = 240 km. New required speed = 240 / 4 = 60 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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Two standard passenger trains 160 meters and 140 meters long run on parallel tracks in opposite directions at 42 km/h and 30 km/h. Find the time needed to cross each other completely.
Correct Answer: Option D
Explanation:
Total distance = 160 + 140 = 300 meters. Relative speed = 42 + 30 = 72 km/h = 20 m/s. Time taken = 300 / 20 = 15 seconds.
Total distance = 160 + 140 = 300 meters. Relative speed = 42 + 30 = 72 km/h = 20 m/s. Time taken = 300 / 20 = 15 seconds.
This question belongs to:
Maths
Time Speed and Distance
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