Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?

Question

Mathematics

Amya

7 June, 09:53

Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?

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Houston Oconnell · Answer 1

Assuming that the river doesn not move

if they kept a constand speed then they passes

the problem doesn't say how fast they were moving, but we can see that 1 boat is faster so

first pass

1400 meters from 1 bank

if they turn around they are 600 meters from the other bank

since they kept constant speed, they passed in the same place so

distance from bank1 to markx=1400

distance from bank2 to markx=600

distance from bank1 to bank2=600+1400

1400+600=total distance=2000 m