A cyclist covers 500 meters in 2 minutes. What is his speed in km/h? MCQ with Answer and Explanation
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Question #1
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A car covered a distance of 200 km at a uniform speed. If the speed is reduced by 10 km/h, the time taken increases by 1 hour. Find the original speed.
Correct Answer: Option C
Explanation:
Let original speed be s. 200 / (s - 10) - 200 / s = 1 => 200(s - s + 10) = s(s - 10) => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 gives (s - 50)(s + 40) = 0. Since speed is positive, s = 50 km/h.
Let original speed be s. 200 / (s - 10) - 200 / s = 1 => 200(s - s + 10) = s(s - 10) => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 gives (s - 50)(s + 40) = 0. Since speed is positive, s = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A delivery car handles a total route profile of 360 km. It clears the first half stretch at 45 km/h and the second half at 90 km/h. Find the net average speed.
Correct Answer: Option D
Explanation:
Average Speed = 2xy / (x + y) = (2 * 45 * 90) / (45 + 90) = 8100 / 135 = 60 km/h.
Average Speed = 2xy / (x + y) = (2 * 45 * 90) / (45 + 90) = 8100 / 135 = 60 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat can row 13 km/h in still water and the speed of the current is 3 km/h. Find the time taken to row 48 km downstream.
Correct Answer: Option A
Explanation:
Downstream speed = 13 + 3 = 16 km/h. Time taken = 48 / 16 = 3 hours.
Downstream speed = 13 + 3 = 16 km/h. Time taken = 48 / 16 = 3 hours.
This question belongs to:
Maths
Time Speed and Distance
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