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. What's the width of the river?
Solution (By Examveda Team)
Answer : 3600s1 = 1400/t1 = (w-800)/t2
s2 = (w-1400)/t1 = (w+800)/t2
s1+s2 = w/t1 = 2w/t2 so t2 = 2t1
1400/t1 = (w-800)/(2t1) so 1400 = (w-800)/2
2800 = w - 800
w = 3600
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