Question : A boat can row 24 km in 6 hours in still water It can row 56 km downstream and 30 km upstream in 38 hours. What is the speed of the stream?
Option 1: 3 km/hr
Option 2: 5 km/hr
Option 3: 3.5 km/hr
Option 4: 4 km/hr
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Correct Answer: 3 km/hr
Solution : Let the boat still in the water as B and the speed of the stream as S. ⇒ B = $\frac{24}{6}$ = 4 km/hr Downstream speed = (B + S) = (4 + S) km/hr Upstream speed = (B – S) = (4 – S) km/hr According to the question, ⇒ For downstream, 56 = (4 + S) × t 1 ⇒ For upstream, 30 = (4 – S) × t 2 ⇒ Total time = t 1 + t 2 = 38 Now, t 1 = $\frac{56}{4 + S}$ and t 2 = $\frac{30}{4 – S}$ ⇒ $\frac{56}{4 + S}$ + $\frac{30}{4 - S}$ = 38 Solving this, we get $S = 3$ km/hr Hence, the correct answer is 3 km/hr.
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