A person covers a distance of 100 km at 25 km/h and another 150 km at 50 km/h. Find his average speed for the whole journey. MCQ with Answer and Explanation
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Question #1
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In a 500-meter race, the ratio of speeds of two runners A and B is 3:4. A has a start of 140 meters. Who wins the race and by how many meters?
Correct Answer: Option B
Explanation:
Distance for A to run = 500 - 140 = 360 meters. Ratio of speeds A:B = 3:4. Time taken by A to run 360m is proportional to 360 / 3 = 120 units. In the same time, B runs 4 * 120 = 480 meters. B needs 500m to win but only reaches 480m. Thus, A wins, and B is 500 - 480 = 20 meters behind. A wins by 20 meters.
Distance for A to run = 500 - 140 = 360 meters. Ratio of speeds A:B = 3:4. Time taken by A to run 360m is proportional to 360 / 3 = 120 units. In the same time, B runs 4 * 120 = 480 meters. B needs 500m to win but only reaches 480m. Thus, A wins, and B is 500 - 480 = 20 meters behind. A wins by 20 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person can row 10 km/h in still water. If the speed of the river current is 3 km/h, find the time taken to row 28 km upstream.
Correct Answer: Option C
Explanation:
Upstream speed = 10 - 3 = 7 km/h. Time taken = 28 / 7 = 4 hours.
Upstream speed = 10 - 3 = 7 km/h. Time taken = 28 / 7 = 4 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A commuter departs from outpost A at 5:00 AM at 25 km/h. Another starts from A at 7:00 AM at 35 km/h tracking along the same direction corridor. At what distance away from A will they intercept?
Correct Answer: Option A
Explanation:
By 7:00 AM, the first commuter tracks for 2 hours, covering 25 * 2 = 50 km. Relative speed index = 35 - 25 = 10 km/h. Time to intercept = 50 / 10 = 5 hours. Distance path from point A = Speed of second commuter * Intercept Time = 35 * 5 = 175 km.
By 7:00 AM, the first commuter tracks for 2 hours, covering 25 * 2 = 50 km. Relative speed index = 35 - 25 = 10 km/h. Time to intercept = 50 / 10 = 5 hours. Distance path from point A = Speed of second commuter * Intercept Time = 35 * 5 = 175 km.
This question belongs to:
Maths
Time Speed and Distance
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