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- A boat runs at 22 km per hour along the stream and 10 km per hour against the stream.
Question 1:
A boat runs at 22 km per hour along the stream and 10 km per hour against the stream. Find the ratio of the speed of the boat in still water to that of the speed of the stream. A. 2:3
B. 8:3
Feedback Speed along the stream = speed downstream = a = 22 km/hr
And speed against the stream = speed upstream = b = 10 km/hr.
Now, the boat speed in still water = a + b / 2 km/hr = (22 + 10) / 2 = 16 km/hr.
And the speed of stream = a - b / 2 km/hr = (22 - 10) / 2 = 6 km/hr.
Required ratio = speed in still water : speed of stream = 16:6 = 8:3.
And speed against the stream = speed upstream = b = 10 km/hr.
Now, the boat speed in still water = a + b / 2 km/hr = (22 + 10) / 2 = 16 km/hr.
And the speed of stream = a - b / 2 km/hr = (22 - 10) / 2 = 6 km/hr.
Required ratio = speed in still water : speed of stream = 16:6 = 8:3.
C. 5:3
D. 7:3
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