A boat covers 4 km upstream and 15 km downstream in 7 hours, while it covers 16 km upstream and 35 km downstream in 23 hours. What is the speed of the current?
2 km/hr
Let the speed of the boat be B km/hr and the speed of the current be C km/hr. - Upstream speed = (B - C) km/hr and downstream speed = (B + C) km/hr. - From the given data: (4/(B - C)) + (15/(B + C)) = 7 and (16/(B - C)) + (35/(B + C)) = 23. Solving these equations, we find that the speed of the current (C) is 2 km/hr.
Important Questions from Boat and River
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The speed of a motorboat in still water is 20 km/h. It travels 150 km downstream and then returns to the starting point. If the round trip takes a total of 16 hours, what is the speed (in km/h) of the flow of river?
The time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream. If the speed of the stream is 3 km/h, then how much time (in hours) will it take to travel a distance of 44.8 km in still water?
A man can row a distance of 8 km downstream in a certain time and can row 6 km upstream in the same time. If he rows 24 km upstream and the same distance downstream in \(1\frac{3}{4}\) hours, then the speed (in km/h) of the current is:
A boat goes 27 km upstream and 33 km downstream in 6 hours. In the same time it can go 36 km upstream and 22 km downstream. How much time will it take to go 36 km upstream and 44 km downstream?
