A passenger train 180 meters long is running at 60 km/h. How much time will it take to pass a platform of length 220 meters? MCQ with Answer and Explanation
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Question #1
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A boat goes 6 km upstream and returns back to the starting point in 2 hours. If the speed of the stream is 4 km/h, find the speed of the boat in still water.
Correct Answer: Option A
Explanation:
Let speed of boat in still water be v. 6 / (v - 4) + 6 / (v + 4) = 2 => 3 / (v - 4) + 3 / (v + 4) = 1 => 3(v + 4 + v - 4) = v^2 - 16 => 6v = v^2 - 16 => v^2 - 6v - 16 = 0. Solving the quadratic equation gives (v - 8)(v + 2) = 0. Since speed must be positive, v = 8 km/h.
Let speed of boat in still water be v. 6 / (v - 4) + 6 / (v + 4) = 2 => 3 / (v - 4) + 3 / (v + 4) = 1 => 3(v + 4 + v - 4) = v^2 - 16 => 6v = v^2 - 16 => v^2 - 6v - 16 = 0. Solving the quadratic equation gives (v - 8)(v + 2) = 0. Since speed must be positive, v = 8 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A car runs at 60 km/h for 2 hours and then at 40 km/h for another 3 hours. Find the average speed of the car for the entire journey.
Correct Answer: Option A
Explanation:
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.
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Maths
Time Speed and Distance
Question #3
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A regular passenger bus tracks a route divided into three equal segments. It runs the segments at 20 km/h, 30 km/h, and 60 km/h respectively. Find the average speed across the whole route.
Correct Answer: Option D
Explanation:
Let each segment distance be 60 km. Total distance = 3 * 60 = 180 km. Total time = 60/20 + 60/30 + 60/60 = 3 + 2 + 1 = 6 hours. Average speed = 180 / 6 = 30 km/h.
Let each segment distance be 60 km. Total distance = 3 * 60 = 180 km. Total time = 60/20 + 60/30 + 60/60 = 3 + 2 + 1 = 6 hours. Average speed = 180 / 6 = 30 km/h.
This question belongs to:
Maths
Time Speed and Distance
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