A boatman can row 16 km/h in still water. If the river velocity index tracks at 4 km/h, find the time interval required by the boat hull to row 48 km upstream. 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 C
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 bus moving at 42 km/h covers a distance in 8 hours. At what speed must it travel to cover the same distance in 6 hours?
Correct Answer: Option C
Explanation:
Distance = 42 * 8 = 336 km. Required speed = 336 / 6 = 56 km/h.
Distance = 42 * 8 = 336 km. Required speed = 336 / 6 = 56 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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Two express trains 200 meters and 150 meters long are moving in the same direction at 72 km/h and 54 km/h respectively. Find the time taken by the faster train to cross the slower train completely.
Correct Answer: Option B
Explanation:
Total distance = 200 + 150 = 350 meters. Relative speed in same direction = 72 - 54 = 18 km/h = 5 m/s. Time taken = 350 / 5 = 70 seconds.
Total distance = 200 + 150 = 350 meters. Relative speed in same direction = 72 - 54 = 18 km/h = 5 m/s. Time taken = 350 / 5 = 70 seconds.
This question belongs to:
Maths
Time Speed and Distance
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