A wheel has a radius of 14 cm. How many revolutions must it make to cover a distance of 88 meters? 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 D
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 van moves at 45 km/h for 2 hours and then tracks at 55 km/h for the next 3 hours. Find the net average speed for the total route.
Correct Answer: Option D
Explanation:
Distance 1 = 45 * 2 = 90 km. Distance 2 = 55 * 3 = 165 km. Total distance = 255 km. Total time = 5 hours. Average speed = 255 / 5 = 51 km/h.
Distance 1 = 45 * 2 = 90 km. Distance 2 = 55 * 3 = 165 km. Total distance = 255 km. Total time = 5 hours. Average speed = 255 / 5 = 51 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A car covered a distance of 300 km at a uniform speed. If the baseline speed is lowered by 10 km/h, the trip duration spikes by 1 hour. Find the original speed.
Correct Answer: Option A
Explanation:
Let original speed be s. 300 / (s - 10) - 300 / s = 1 => 300(10) = s(s - 10) => 3000 = s(s - 10). Solving s^2 - 10s - 3000 = 0 yields (s - 60)(s + 50) = 0. Since speed must be positive, s = 60 km/h.
Let original speed be s. 300 / (s - 10) - 300 / s = 1 => 300(10) = s(s - 10) => 3000 = s(s - 10). Solving s^2 - 10s - 3000 = 0 yields (s - 60)(s + 50) = 0. Since speed must be positive, s = 60 km/h.
This question belongs to:
Maths
Time Speed and Distance
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