Question

35 Paul and Peter can build a wall individually in 60 minutes and 75 minutes respectively. They start workir
breaking the wall at the other end. The wall gets built in 50 minutes in this way. How much time does )
is: A.
100 minutes
O 120 minutes
90 minutes
110 minutes​

Answer 1

Answer:

120 minutes

hope it helps you

Answer 2

Answer:

Therefore, the answer is approximately 179.44 minutes, which is closest to option D, i.e., 110 minutes.

Step-by-step explanation:

Let's assume that the total work is building a wall of 1 unit.

We are given that Paul can build the wall individually in 60 minutes. So, Paul's work rate is 1/60 units per minute. Similarly, Peter's work rate is 1/75 units per minute.

Now, let's assume that they work together for 't' minutes to complete the remaining work of the wall. During these 't' minutes, Paul and Peter worked on opposite ends of the wall and met somewhere in the middle to complete the wall. So, the combined work rate of Paul and Peter is (1/60 + 1/75) units per minute.

According to the given problem, the wall gets built in 50 minutes. So, the time taken by Paul and Peter working together to complete the remaining work is (50 - t) minutes.

Therefore, we can write the equation:

(1/60 + 1/75) * (50 - t) = 1

Simplifying this equation, we get:

(5/180 + 4/180) * (50 - t) = 1/180

(9/180) * (50 - t) = 1/180

50 - t = 50/9

t = 400/9

t ≈ 44.44 minutes

Therefore, the time taken by Paul and Peter working together to complete the remaining work is approximately 44.44 minutes.

So, the total time taken to build the wall is:

60 minutes (time taken by Paul) + 44.44 minutes (time taken by Paul and Peter working together) + 75 minutes (time taken by Peter) = 179.44 minutes

Therefore, the answer is approximately 179.44 minutes, which is closest to option D, i.e., 110 minutes.

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