A man walks a certain distance at a speed of 4 km/h and runs back at 16 km/h. Find his average speed. MCQ with Answer and Explanation
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Question #1
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A passenger coach locomotive 200 meters long passes a clear roadside post marker in 10 seconds flat. Find the time needed to cross an extensions platform 440 meters long.
Correct Answer: Option A
Explanation:
Speed of coach locomotive = 200 / 10 = 20 m/s. Total distance to clear platform stretch = 200 + 440 = 640 meters. Time required = 640 / 20 = 32 seconds.
Speed of coach locomotive = 200 / 10 = 20 m/s. Total distance to clear platform stretch = 200 + 440 = 640 meters. Time required = 640 / 20 = 32 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A car travels a distance of 360 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed.
Correct Answer: Option C
Explanation:
Let original speed be s. 360 / (s - 10) - 360 / s = 2 => 180 / (s - 10) - 180 / s = 1 => 180(10) = s(s - 10) => 1800 = s(s - 10). Solving s^2 - 10s - 1800 = 0 gives (s - 45)(s + 40) = 0. Since speed is positive, s = 45 km/h.
Let original speed be s. 360 / (s - 10) - 360 / s = 2 => 180 / (s - 10) - 180 / s = 1 => 180(10) = s(s - 10) => 1800 = s(s - 10). Solving s^2 - 10s - 1800 = 0 gives (s - 45)(s + 40) = 0. Since speed is positive, s = 45 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man walking at 5 km/h notices a train 100 meters long passing him from behind in 6 seconds. What is the speed of the train?
Correct Answer: Option A
Explanation:
Relative speed = 100 / 6 = 50/3 m/s = (50/3) * (18/5) = 60 km/h. Since the train passes him from behind (same direction), Relative Speed = Speed of train - Speed of man => 60 = Speed of train - 5 => Speed of train = 65 km/h.
Relative speed = 100 / 6 = 50/3 m/s = (50/3) * (18/5) = 60 km/h. Since the train passes him from behind (same direction), Relative Speed = Speed of train - Speed of man => 60 = Speed of train - 5 => Speed of train = 65 km/h.
This question belongs to:
Maths
Time Speed and Distance
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