A person row a boat 30 km downstream in 3 hours and returns upstream in 5 hours. Find the speed of the current. MCQ with Answer and Explanation
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Question #1
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A car covers a total loop distance of 300 km. If the baseline speed is raised by 10 km/h, the trip takes 1 hour less. Find the original speed.
Correct Answer: Option B
Explanation:
Let original speed be s. 300/s - 300/(s+10) = 1 => 3000 = s(s+10). Solving s^2 + 10s - 3000 = 0 yields (s-50)(s+60) = 0. Speed = 50 km/h.
Let original speed be s. 300/s - 300/(s+10) = 1 => 3000 = s(s+10). Solving s^2 + 10s - 3000 = 0 yields (s-50)(s+60) = 0. Speed = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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Two commuter trains 130 meters and 120 meters long are tracking in opposite directions at speeds of 42 km/h and 48 km/h respectively. In what time will they clear each other?
Correct Answer: Option B
Explanation:
Total distance = 130 + 120 = 250 meters. Relative speed in opposite directions = 42 + 48 = 90 km/h = 90 * (5/18) = 25 m/s. Time required = 250 / 25 = 10 seconds.
Total distance = 130 + 120 = 250 meters. Relative speed in opposite directions = 42 + 48 = 90 km/h = 90 * (5/18) = 25 m/s. Time required = 250 / 25 = 10 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man rows 24 km downstream in 2 hours and the same distance upstream in 6 hours. Find the speed of the stream.
Correct Answer: Option B
Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 6 = 4 km/h. Speed of stream = (12 - 4) / 2 = 8 / 2 = 4 km/h.
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 6 = 4 km/h. Speed of stream = (12 - 4) / 2 = 8 / 2 = 4 km/h.
This question belongs to:
Maths
Time Speed and Distance
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