A real estate agent drives from his house to an office at 10 km/h and arrives 12 minutes late. If he increases his speed to 15 km/h, he arrives 4 minutes early. Find the distance. MCQ with Answer and Explanation
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Question #1
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A car travels a distance of 240 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed.
Correct Answer: Option B
Explanation:
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 km/h.
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train 110 meters long passing a platform 290 meters long requires exactly 20 seconds. What is the speed of the train in km/h?
Correct Answer: Option D
Explanation:
Total distance = 110 + 290 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
Total distance = 110 + 290 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boatman can row 9 km/h in still water and the river flows at 3 km/h. Find the time taken to row 36 km downstream.
Correct Answer: Option A
Explanation:
Downstream speed = 9 + 3 = 12 km/h. Time taken = Distance / Downstream Speed = 36 / 12 = 3 hours.
Downstream speed = 9 + 3 = 12 km/h. Time taken = Distance / Downstream Speed = 36 / 12 = 3 hours.
This question belongs to:
Maths
Time Speed and Distance
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