A truck covers a distance of 240 km in 4 hours. How much time will it take to cover a distance of 180 km at the same speed? MCQ with Answer and Explanation
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Question #1
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Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other?
Correct Answer: Option C
Explanation:
Total distance = 140 + 160 = 300 meters. Relative speed in opposite directions = 50 + 58 = 108 km/h = 30 m/s. Time taken = 300 / 30 = 10 seconds.
Total distance = 140 + 160 = 300 meters. Relative speed in opposite directions = 50 + 58 = 108 km/h = 30 m/s. Time taken = 300 / 30 = 10 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A vehicle covers a path of 360 km at a certain speed. If the speed is increased by 10 km/h, the trip takes exactly 3 hours less. Find the original speed of the vehicle.
Correct Answer: Option C
Explanation:
Let original speed be s. 360/s - 360/(s+10) = 3 => 120/s - 120/(s+10) = 1 => 120(10) = s(s+10) => 1200 = s(s+10). Solving s^2 + 10s - 1200 = 0 gives (s - 30)(s + 40) = 0. Since speed is positive, s = 30 km/h.
Let original speed be s. 360/s - 360/(s+10) = 3 => 120/s - 120/(s+10) = 1 => 120(10) = s(s+10) => 1200 = s(s+10). Solving s^2 + 10s - 1200 = 0 gives (s - 30)(s + 40) = 0. Since speed is positive, s = 30 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A vehicle runs at 30 km/h for 3 hours and 60 km/h for the next 2 hours. Find the average speed for the whole journey.
Correct Answer: Option D
Explanation:
Distance 1 = 30 * 3 = 90 km. Distance 2 = 60 * 2 = 120 km. Total distance = 210 km. Total time = 3 + 2 = 5 hours. Average speed = 210 / 5 = 42 km/h.
Distance 1 = 30 * 3 = 90 km. Distance 2 = 60 * 2 = 120 km. Total distance = 210 km. Total time = 3 + 2 = 5 hours. Average speed = 210 / 5 = 42 km/h.
This question belongs to:
Maths
Time Speed and Distance
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