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A motor boat goes 20 km downstream and comes back to the starting point in 6 hours. If the speed of the boat in still water is 12 km/h, then the speed of the stream is :

Solution

✅ Correct Option: 3

Let stream speed =s= s. Then 2012+s+2012−s=6\frac{20}{12+s} + \frac{20}{12-s} = 6. So 20(12−s)+20(12+s)=6(144−s2)20(12-s) + 20(12+s) = 6(144 - s^2), giving 480=864−6s2480 = 864 - 6s^2, so s2=64s^2 = 64, s=8s = 8 km/h.

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