A boatman rows 30 km downstream and 18 km upstream, taking 3 hours for each leg of the journey. Find the speed of the boat in still water. MCQ with Answer and Explanation
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Question #1
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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?
Correct Answer: Option B
Explanation:
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
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Maths
Time Speed and Distance
Question #2
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A car covers a distance of 120 km at 30 km/h and another 120 km at 50 km/h. Find the total time spent during the journey.
Correct Answer: Option D
Explanation:
Time for first part = 120 / 30 = 4 hours. Time for second part = 120 / 50 = 2.4 hours. Total time taken = 4 + 2.4 = 6.4 hours.
Time for first part = 120 / 30 = 4 hours. Time for second part = 120 / 50 = 2.4 hours. Total time taken = 4 + 2.4 = 6.4 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat can row 11 km/h in still water and the velocity index of the current stream is 3 km/h. Find the time span taken to row 32 km upstream.
Correct Answer: Option B
Explanation:
Upstream speed = 11 - 3 = 8 km/h. Time taken = 32 / 8 = 4 hours.
Upstream speed = 11 - 3 = 8 km/h. Time taken = 32 / 8 = 4 hours.
This question belongs to:
Maths
Time Speed and Distance
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