Going 24 km upstream and 28 km downstream takes a boat 6 hours; going 30 km upstream and 21 km downstream takes 6.5 hours. What is the speed of the stream?
Competition practiceBoats & Streams
A3 km/h
B4 km/h
C10 km/h
D2 km/h
Step-by-Step Solution
Let u=U1,d=D1.24u+28d=6 (×3) and 30u+21d=6.5(×4):72u+84d=18,120u+84d=26⇒48u=8⇒U=6. Then 28d=6−4=2⇒D=14. Stream = 214−6=4 km/h.
Answer: B) 4 km/h
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