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A boat travels from Point A to Point B in the direction of water and then returns to Point A. In still water, the boat travels at a speed of 28 kilometers per hour. If the speed of the water current is 4 kilometers per hour and the time taken for the round-trip is 2 hours and 55 minutes, what is the total distance traveled by the boat in the round trip ?
A. 40 kilometers
B. 71 kilometers
C. 80 kilometers
D. 82 kilometers
E. 86 kilometers
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A. 40 kilometers
B. 71 kilometers
C. 80 kilometers
D. 82 kilometers
E. 86 kilometers
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Posts: 7
Answer: C (80 km)
Since Sb = 28 and Sw = 4, Sab = 32 and Sba = 24, Sab:Sba = 3:4 = tab:tba (same distance)
Total time = 2+55/60 = 35/12 --> tab = (3/7)*(35/12) = 5/4
dab = dba = (5/4)*32 = 40
Since Sb = 28 and Sw = 4, Sab = 32 and Sba = 24, Sab:Sba = 3:4 = tab:tba (same distance)
Total time = 2+55/60 = 35/12 --> tab = (3/7)*(35/12) = 5/4
dab = dba = (5/4)*32 = 40
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