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Question

A man can row 13 km/hr in still water. When the river is running at 5 km/hr, it takes him 6.5 hours to row to a place and back. How far is the place?

A 36 km Correct Answer Incorrect Answer
B 35 km Correct Answer Incorrect Answer
C 26 km Correct Answer Incorrect Answer
D 34 km Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

Let distance = x [if gte msEquation 12]>x [if !msEquation]-->[endif]-->km, Rate upstream = 13 - 5 = 8 km/hr Rate downstream= 13 + 5 = 18 km/hr. [if gte msEquation 12]>∴ [if !msEquation]-->[endif]-->`:.` Time taken upstream =`x/8` [if gte msEquation 12]> x 8 [if !msEquation]-->[endif]--> Time taken downstream =`x/18` [if gte msEquation 12]> x 18 [if !msEquation]-->[endif]--> => x/8 + x/18 = 6.5 ⇒ 13x/72 = 6.5 ⇒ x = 36 km .

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