Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car? MCQ with Answer and Explanation
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Question #1
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A man can row 8 km/h in still water. He takes 4 hours to row to a point and back when the current flows at 4 km/h. How far is the point?
Correct Answer: Option D
Explanation:
Downstream speed = 8 + 4 = 12 km/h. Upstream speed = 8 - 4 = 4 km/h. Let distance be d. d / 12 + d / 4 = 4 => 4d / 12 = 4 => d = 12 km.
Downstream speed = 8 + 4 = 12 km/h. Upstream speed = 8 - 4 = 4 km/h. Let distance be d. d / 12 + d / 4 = 4 => 4d / 12 = 4 => d = 12 km.
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Maths
Time Speed and Distance
Question #2
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A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns.
Correct Answer: Option A
Explanation:
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
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Maths
Time Speed and Distance
Question #3
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A sedan covers a distance path of 480 km at a uniform tracking speed. If the speed index is lowered by 10 km/h, the trip records 2 hours longer. Find the original baseline speed.
Correct Answer: Option B
Explanation:
Let original speed be s. 480 / (s - 10) - 480 / s = 2 => 240 / (s - 10) - 240 / s = 1 => 2400 = s(s - 10). Solving s^2 - 10s - 2400 = 0 gives (s - 50)(s + 40) = 0. Baseline speed = 50 km/h.
Let original speed be s. 480 / (s - 10) - 480 / s = 2 => 240 / (s - 10) - 240 / s = 1 => 2400 = s(s - 10). Solving s^2 - 10s - 2400 = 0 gives (s - 50)(s + 40) = 0. Baseline speed = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
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