A locomotive running at 54 km/h takes 20 seconds to completely cross a platform. If it takes 8 seconds to pass a standing point observer, find the platform length. MCQ with Answer and Explanation
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Question #1
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A car climbs a hill at 24 km/h and descends the same hill at 36 km/h. Find the average speed of the car for the entire journey.
Correct Answer: Option C
Explanation:
Average Speed = (2 * 24 * 36) / (24 + 36) = 1728 / 60 = 28.8 km/h.
Average Speed = (2 * 24 * 36) / (24 + 36) = 1728 / 60 = 28.8 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A driver spans a highway path of 400 km. If the uniform speed is boosted by 10 km/h, the trip wraps up in 2 hours less. Find the initial speed.
Correct Answer: Option A
Explanation:
Let original speed be s. 400/s - 400/(s+10) = 2 => 200/s - 200/(s+10) = 1 => 2000 = s(s+10). Solving s^2 + 10s - 2000 = 0 yields (s-40)(s+50) = 0. Speed = 40 km/h.
Let original speed be s. 400/s - 400/(s+10) = 2 => 200/s - 200/(s+10) = 1 => 2000 = s(s+10). Solving s^2 + 10s - 2000 = 0 yields (s-40)(s+50) = 0. Speed = 40 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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The speed of two runners are in the ratio 3 : 4. If the first runner takes 36 seconds to complete a loop, how much time does the second runner take?
Correct Answer: Option D
Explanation:
Ratio of speeds = 3:4, so ratio of times taken = 4:3. Given 4 parts = 36 seconds => 1 part = 9 seconds. Time taken by the second runner = 3 parts = 3 * 9 = 27 seconds.
Ratio of speeds = 3:4, so ratio of times taken = 4:3. Given 4 parts = 36 seconds => 1 part = 9 seconds. Time taken by the second runner = 3 parts = 3 * 9 = 27 seconds.
This question belongs to:
Maths
Time Speed and Distance
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