A man can row 12 km/hr in still water. If the speed of the current is 3 km/hr, he takes 4 hours more in upstream than in the downstream. What is the distance (in km)?

A man can row 12 km/hr in still water. If the speed of the current is 3 km/hr, he takes 4 hours more in upstream than in the downstream. What is the distance (in km)?
1). 30
2). 45
3). 60
4). 90

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Guest · Answer 1 · 2019-07-09 00:07:04

Speed of boat in still water =B = 12 km/hr

Speed of current = C = 3 km/hr

Speed of boat upstream = B - C = 12 - 3 = 9 km/hr

Speed of boat downstream = B + C = 12 + 3 = 15 km/hr

Let the distance travelled be D km

Speed = distance/time

⇒ time = distance/speed

Tame taken in upstream = D/9

Time taken in downstream = D/15

Difference in time taken = 4 hours

⇒ Tame taken in upstream - Time taken in downstream=4 hours

⇒ D/9 - D/15 = 4

⇒ (2/45)D = 4

⇒ D = 90 km

A man can row 12 km/hr in still water. If the speed of the current is 3 km/hr, he takes 4 hours more in upstream than in the downstream. What is the distance (in km)?

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