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vredina [299]
3 years ago
10

Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. Th

ey 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?
Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

S1 = speed of boat 1

<span> t1 =  time to do 1400 meters (boat 1) </span>

S1*t1 = 1400

<span><span>S2  </span>= speed of boat 2 </span>

1400 + S2*t1 = X

t2 = time to do X + 600 (boat 2)

S1*t2 = X + 600

S2*t2 = 2X - 600

S1 = 1400/t1

S2 = (X-1400)/t1

<span>T = t2/t1  </span>

1400*T = X + 600

X*T - 1400*T = 2X - 600

X = 3600 meters

<span> River is 3600 meters wide</span>


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