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) × t1 ⇒ For upstream, 30 = (4 – S) × t2 ⇒ Total time = t1 + t2 = 38 Now, t1 = $\frac{56}{4 + S}$ and t2 = $\frac{30}{4 – S}$ ⇒ $\frac{56}{4 + S}$ + $\frac{30}{4 - S}$ = 38 Solving this, we get $S = 3$ km/hr Hence, the correct answer is 3 km/hr.
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Question : A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. What is the speed (in km/hr) of a boat in still water?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Question : The speed of a boat in still water is 17 km/hr and the speed of a stream is 11 km/hr. Find the difference between the upstream speed and the downstream speed of the boat.
Option 1: 18 km/hr
Option 2: 22 km/hr
Option 3: 21 km/hr
Option 4: 28 km/hr
Question : Ajay can row his boat in still water, at a speed of 11 km/hr, If the speed of the stream is 7 km/hr, how long will it take to a distance of 54 km downstream?
Option 1: 4 hours
Option 2: 2 hours
Option 3: 2.5 hours
Option 4: 3 hours
Question : The speed of a boat in still water is 44 km/hr and the speed of a stream is 26 km/hr. Find the upstream speed of the boat.
Option 1: 12 km/hr
Option 2: 18 km/hr
Option 3: 13 km/hr
Option 4: 14 km/hr
Question : A boy can row upstream at 12 km/hr and downstream at 23 km/hr. What is the speed of the stream?
Option 1: 3.5 km/hr
Option 2: 4.5 km/hr
Option 3: 6.5 km/hr
Option 4: 5.5 km/hr
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