Question

Solve equation 1/4 + 1/7=1/t for t to find the number of days it would take them to paint the house if they worked together. Number 361

Answer 1

2.5 days.

Explanation:

We have the following equation:

`(1)/(4)+(1)/(7)=(1)/(t)`

We solve for t:

`\begin{gathered} (1\cdot7+4\cdot1)/(4\cdot7)=(1)/(t) \\ (11)/(28)=(1)/(t) \\ t=(28)/(11)\approx2.5\text{ days} \end{gathered}`

Therefore, if they work together, they could paint the house in about 2.5 days.