4. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A. 3 km/hr
B. 5 km/hr
C. 8 km/hr
D. 9 km/hr
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4. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A. 3 km/hr
B. 5 km/hr
C. 8 km/hr
D. 9 km/hr
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Answer:
(c) 8km/hr
Step-by-step explanation:
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Verified answer
Given
To find
Solution
Let , the speed of boat in still water be x
and , speed of stream be y
So ,
The speed of boat along the stream = 11 km/h
so , x + y → 11 km/h --- ( 1 )
and 5 km/h against the stream ,
x - y → 5 km/h --- ( 2 )
Solving both the equations ,
→ x + y + x - y = 11 + 5
→ 2x + y - y = 16
→ 2x = 16
→ x = 8
So , the speed of boat in still water is 8 km/h