Knowee
Questions
Features
Study Tools

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

Question

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

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to find the speed of the man in still water and the speed of the stream.

Step 1: Convert the time to hours The man rows 3/4 km against the stream in 11 1/2 minutes, which is 11.5/60 = 0.192 hours. He returns in 7 1/3 minutes, which is 7.33/60 = 0.122 hours.

Step 2: Calculate the speed against and with the stream Speed = Distance/Time Against the stream: Speed = 0.75 km / 0.192 hours = 3.91 km/hr With the stream: Speed = 0.75 km / 0.122 hours = 6.15 km/hr

Step 3: Calculate the speed of the man in still water and the speed of the stream Let's denote the speed of the man in still water as x and the speed of the stream as y. We know that when the man rows against the stream, his effective speed is (x-y), and when he rows with the stream, his effective speed is (x+y).

So we have the system of equations: x - y = 3.91 x + y = 6.15

Solving this system, we get: x = (3.91 + 6.15) / 2 = 5.03 km/hr y = (6.15 - 3.91) / 2 = 1.12 km/hr

So, the speed of the man in still water is approximately 5.03 km/hr and the speed of the stream is approximately 1.12 km/hr.

The closest answer to these values is option c. 5·025 km/hr,1·115 km/hr.

This problem has been solved

Similar Questions

1) The speed of a boat in still water is 5km/hr. If the speed of the boat against the stream is 3 km/hr, what is the speed of the stream?1.5 km/hr2 km/hr2.5 km/hr1 km/hr

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

A man rows 8 km/hr in still water. If the river is running at 2km/hr, it takes 32 minutes to row to a place and back. How far is the placeSelect one:a. 1·5 kmb. 2·5 kmc. 2 kmd. 3 km

The speed of a boat in still water is 6 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is?Options10 hours6 hours 10 minutes8 hours4 hours 10 minutes

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

1/3

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.