Upstream and downstream boat speed
CMAT 2018 · Quantitative Techniques & Data Interpretation · Medium · Speed Time Distance
A boat covers 24 km upstream and 72 km downstream in 8 hours, while it covers 48 km upstream and 108 km downstream in 14 hours. Find the speed of the boat in still water and the speed of the stream respectively.
- A.
12 km/h, 6 km/h
- B.
10 km/h, 5 km/h
- C.
10 km/h, 6 km/h
- D.
12 km/h, 5km/h
Answer
A
Explanation
Let upstream speed be and downstream speed be .
Multiplying the first equation by 2:
Subtracting the second equation: Substitute into first equation:
Speed of boat in still water = km/h. Speed of stream = km/h.
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