Walking at 5/7 of his usual speed, a student reaches his exam center 12 minutes late. What is his exact usual time to reach the center? MCQ with Answer and Explanation
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Question #1
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A slow moving truck covers a distance of 210 km at a uniform speed of 35 km/h. How much time does it take?
Correct Answer: Option C
Explanation:
Time taken = Distance / Speed = 210 / 35 = 6 hours.
Time taken = Distance / Speed = 210 / 35 = 6 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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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.
Correct Answer: Option B
Explanation:
Total distance = 120 + 280 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
Total distance = 120 + 280 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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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 B
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
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