A swimmer jumps from a bridge over a canal and swims 1 km up stream. After that first km, he passes a floating cork. He continues swimming for half an hour and then turns around and swims back to the bridge. The swimmer and the cork reach the bridge at the same time. The swimmer has been swimming at a constant speed. How fast does the water in the canal flow in km/hr.
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Ans. 1 km/hr
Sol. Let V w = u & U sw = v
Time taken by swimmer to go from M to O and O to B = time taken by float to reach B from M.
= 
+ 
= 
⇒ 
+ 
= 
⇒ 
= 
⇒ ( 2v + 2) u = 2(v + u)
⇒ 2vu + 2u = 2v + 2u
u = 1 km/hr
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