Two delivery cars start from the same warehouse at the same time in identical directions. The first tracks a constant speed of 45 km/h and the second runs at 55 km/h. What is the distance between them after 2 hours 30 minutes? MCQ with Answer and Explanation
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Question #1
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A person covers a certain distance at a certain speed. If he reduces his speed by 20%, he takes 15 minutes more to cover the same distance. Find his usual time.
Correct Answer: Option C
Explanation:
New Speed = 0.8 * Usual Speed. Since distance is constant, New Time = Usual Time / 0.8 = 1.25 * Usual Time. Increase in time = 0.25 * Usual Time = 15 minutes. Usual Time = 15 / 0.25 = 60 minutes.
New Speed = 0.8 * Usual Speed. Since distance is constant, New Time = Usual Time / 0.8 = 1.25 * Usual Time. Increase in time = 0.25 * Usual Time = 15 minutes. Usual Time = 15 / 0.25 = 60 minutes.
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Maths
Time Speed and Distance
Question #2
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A train crosses a bridge of length 150 meters in 15 seconds and a pole in 9 seconds. What is the length of the train?
Correct Answer: Option D
Explanation:
Let train length be L. Speed = L / 9. Also, Speed = (L + 150) / 15. So, L / 9 = (L + 150) / 15 => 15L = 9L + 1350 => 6L = 1350 => L = 225 meters.
Let train length be L. Speed = L / 9. Also, Speed = (L + 150) / 15. So, L / 9 = (L + 150) / 15 => 15L = 9L + 1350 => 6L = 1350 => L = 225 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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Two cities A and B are 360 km apart. A car goes from A to B at 40 km/h and returns to A at 60 km/h. Find the average speed of the car.
Correct Answer: Option A
Explanation:
Average speed = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
Average speed = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
This question belongs to:
Maths
Time Speed and Distance
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