Question : A man can swim at a speed of 14 km/hr in still water. If he takes twice the time as long to swim opposite the flow of the river than with the flow of the river, find the rate of the stream in km/hr.
Option 1: $\frac{14}{5}$
Option 2: $\frac{11}{5}$
Option 3: $\frac{11}{4}$
Option 4: $\frac{14}{3}$
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Correct Answer: $\frac{14}{3}$
Solution : Let the rate of the stream as \(x\) km/hr. When the man swims with the flow of the river, his effective speed is \(14 + x\) km/hr, and when he swims against the flow of the river, his effective speed is \(14 - x\) km/hr. According to the question, $⇒\frac{14 + x}{14 - x} = \frac{2}{1}$ $⇒14+x=28-2x$ $⇒3x=14$ $⇒x=\frac{14}{3}$ Hence, the correct answer is $\frac{14}{3}$.
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Question : A man can row 12 km/hr in still water. It takes him 4 times as long to row up as to row down the river. The speed of the stream is:
Option 1: 7.2 km/hr
Option 2: 3.6 km/hr
Option 3: 9.8 km/hr
Option 4: 4.9 km/hr
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 person walks 10 km at a speed of 2.5 km/hr, then runs 10 km at a speed of 5 km/hr and then goes 30 km by bus at the speed of 30 km/hr. What is the average speed of the man?
Option 1: 9 km/hr
Option 2: 8.25 km/hr
Option 3: 7.14 km/hr
Option 4: 7 km/hr
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 : A man covers half part of a certain distance at 35 km/hr. He covers 40 percent of the remaining distance at the speed of 8 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{920}{47}$ km/hr
Option 2: $\frac{680}{47}$ km/hr
Option 3: $\frac{840}{47}$ km/hr
Option 4: $\frac{760}{47}$ km/hr
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