A man rows to a place 35 km in distance and back in 10 hours 30 minutes. He found that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of flow of the stream?Options1.5 km/hr0.75 km/hr1 km/hr1.33 km/hr
Question
A man rows to a place 35 km in distance and back in 10 hours 30 minutes. He found that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of flow of the stream?Options1.5 km/hr0.75 km/hr1 km/hr1.33 km/hr
Solution
To solve this problem, we need to first understand the concept of speed, time and distance in relation to rowing with and against the stream.
Let's denote the speed of the man in still water as 'x' km/hr and the rate of the stream as 'y' km/hr.
When the man is rowing with the stream, his effective speed is (x+y) km/hr and when he is rowing against the stream, his effective speed is (x-y) km/hr.
From the problem, we know that he can row 5 km with the stream in the same time as he can row 4 km against the stream. This gives us the equation:
5/(x+y) = 4/(x-y) ----(Equation 1)
We also know that he rows to a place 35 km in distance and back in 10 hours 30 minutes. This means:
35/(x+y) + 35/(x-y) = 10.5 ----(Equation 2)
We now have two equations and two variables. We can solve these equations simultaneously to find the values of 'x' and 'y'.
Solving equation 1 gives us: x = 9y
Substituting x = 9y in equation 2 and solving for y gives us y = 1 km/hr.
So, the rate of flow of the stream is 1 km/hr.
Similar Questions
A man can row at 30 km/hr in still water. If the rate of current is 5 km/hr, find the average speed of man if he rows a certain distance upstream and returns back to starting point.20 km/hr.25 km/hr.32 km/hr.29.2 km/hr.
If a man rows at the rate of 5km/hr in still water and his rate against the current is 3·5 km/hr, then the man’s rate along the current is—Select one:a. 8·5 km/hrb. 6·5 km/hrc. 6 km/hrd. 4·25 km/hr
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?A1 kmphB8 kmphC5 kmphD3 kmph
A man can row at a speed of 15 km/hr in still water to a certain upstream point and back to the starting point in a river which flows at 9 km/hr. Find his average speed for total journey.a.8.4 km/hrb.9.6 km/hrc.9.1 km/hrd.10.4 km/hr
A man can row three quarters of a km against the stream in 11 1/2 minutes and return in 7 1/3 minutes.Find the speed of the man in still water.What is the speed of the streamSelect one:a. None of theseb. 6 km/hr,2 km/hrc. 5·025 km/hr,1·115 km/hrd. 4 km/hr,1 km/hr
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.