Question : The upstream speed of a boat is 8 km/h and the downstream is 15 km/h. What is the speed of the boat in still water and the speed of the stream (in km/h), respectively?
Option 1: 11 and 3
Option 2: 3 and 11
Option 3: 11.5 and 3.5
Option 4: 3.5 and 11.5
Correct Answer: 11.5 and 3.5
Solution :
Speed of downstream $(a)$ = 15 km/hr
Speed of upstream $(b)$= 8km/hr
Speed of the boat in still water = $\frac{a + b}{2}$
= $\frac{15+8}{2}$
= 11.5 km/hr
Speed of the stream = $\frac{a-b}{2}$
= $\frac{15-8}{2}$
= 3.5 km/hr
Hence, the correct answer is 11.5 and 3.5.
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