Question : A man takes 15 minutes to row 16 km downstream, which is 25% less than the time he takes to row the same distance upstream. How many kilometres can the man row in an hour in still water? (Rounded off to the nearest whole number)
Option 1: 56
Option 2: 60
Option 3: 58
Option 4: 54
Correct Answer: 56
Solution :
Given: A man takes 15 minutes to row 16 km downstream.
15 minutes $= \frac{15}{60}=\frac{1}{4}$ hours
Downstream speed $= \frac{16}{\frac{1}{4}} = 64$ km/h
Man takes 25% more time in upstream,
So, upstream speed = $64×\frac{75}{100}=48$ km/h
Speed of boat in still water = $\frac{64+48}{2}=56$ km/h
So, distance travelled in an hour in still water = 56 km
Hence, the correct answer is 56.
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