Question

Team a can wash all the windows in the school in x hours. It takes team B 13 hours to do the same job. If the teams work together, they can complete the job in 8.5 hours. How long does it take team A to do the job alone?

Answer 1

Explanation:

Given:

Team a wash the windows = x hours

Team B = 13 hours

Team a + Team b = 8.5 hours

Assuming the time taken for team a amd team b be a and b respectively.

To wash 13 windows, Team a will do so in x hours = x × 13

To wash x number of windows, Team b will do so in x hours = x × 13

a + b = 8.5 hours

So in 13x hours, the two teams can wash 13 + x windows. To paint just a window, they'll need 1/(13 + x) hours,

8.5 = 13x/(x + 13)

4.5x = 110.5

Solving for x,

110.5/4.5 = x

x = 24.56 hours

Team a will require 24.56 hours to do the work alone.

Answer 2

it will take A 4.5 hour

Explanation:

Say both teams are of same man power, and here we have two teams

A and B

B takes 13 hours to finish a task.

A&B takes 8.5 hours to finish same tasks

Hence it will take A 13-8.5=4.5 hours to complete the task