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Two piers, A and B, are located on a river; B is 1500 m

Chapter 6, Problem 34E

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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?

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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 .

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