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Two piers, A and B, are located on a river; B is 1500 m
Chapter 6, Problem 34E(choose chapter or problem)
Two piers, A and B, are located on a river; B is 1500 m downstream from A (?Fig. E3.32?). Two friends must make round trips from pier A to pier B and return. One rows a boat at a constant speed of 4.00 km/h relative to the water; the other walks on the shore at a constant speed of 4.00 km/h. The velocity of the river is 2.80 km/h in the direction from A to B. How much time does it take each person to make the round trip?
Questions & Answers
QUESTION:
Two piers, A and B, are located on a river; B is 1500 m downstream from A (?Fig. E3.32?). Two friends must make round trips from pier A to pier B and return. One rows a boat at a constant speed of 4.00 km/h relative to the water; the other walks on the shore at a constant speed of 4.00 km/h. The velocity of the river is 2.80 km/h in the direction from A to B. How much time does it take each person to make the round trip?
ANSWER:Step 1 of 3
The following are given by the question.
The distance between the piers,
The constant speed relative to water,
The velocity of water with respect to ground,
A person walks from pier A to B then come back from pier B to A.
The time required by the person to take a round trip can be calculated as
Substitute the values and solve as
Hence the time required to take round trip is .