Question

Question 7*30/13 pisCesar can paint a room in 15 hours Alan can paint the same room in 12 hours, How long doestake for both Cesar and Alan to paint the room it they are working togetherEnter your answer as an integer or a reduced fraction. Do not use decimals,Inours

Answer 1

Given

Cesar can paint a room in 15 hours Alan can paint the same room in 12 hours,

To find: How long does it take for both Cesar and Alan to paint the room if they are working together.

Explanation:

It is given that,

Cesar can paint a room in 15 hours Alan can paint the same room in 12 hours,

Then, the work done by Cesar is 1/15, and the work done by Alan is 1/12.

Therefore, the total work done by Cesar and Alan is,

$\begin{gathered} Total\text{ work done}=\frac{1}{15}+\frac{1}{12} \\ =\frac{4+5}{60} \\ =\frac{9}{60} \\ =\frac{3}{20} \end{gathered}$

Hence, the Alan and Cesar took 20 hours to paint the room together.