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A man can row 30 km downstream and return in a total of 8 hours. If the speed of the boat in still water is four times the speed of the current, then the speed of the current is
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- 1 km/hour
- 2 km/hour
- 4 km/hour
- 3 km/hour
- 1 km/hour
Correct Option: B
Let the speed of stream be k kmph, then speed of boat in still water = 4k kmph
∴ Rate downstream = 4k + k = 5k kmph
Rate upstream = 4k – k = 3k kmph
From the question ,
⇒ | + | = 8 ⇒ | + | = 8 | ||||
3k | 5k | k | k |
⇒ | = 8 ⇒ k = | = 2 kmph | ||
k | 8 |