Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5 hours. How long will it take them to remove the shingles if they work togeth…

Question

asked Sep 8, 2020 86.9k views

1 Answer

Alexey Subach · Answer 1 · 2020-09-15T15:27:01+0000

Answer:
$2\ hours\ and\ 55\ minutes$

Explanation:

WE can use the following formula:

(T)/(A)+(T)/(B)=1

Where "T" is the time time working together, "A" the time for person A working alon and "B" is the time for person B working alone.

Based on the data given in the exercise, we can identify that:

$A=7\\B=5$

Therefore, substituting these values into the formula and solving for "T", we get that this is:

$(T)/(7)+(T)/(5)=1\\\\(12T)/(35)=1\\\\T=(1)((35)/(12))\\\\T=2.9167\ hours$

Since 1 hour has 60 minutes:

(0.9167h)((60min)/(1h))=55min

Therefore, if they work together, it will take them 2 hours and 55 minutes to remove the shingles.