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

ANSWER:

2.5 days.

STEP-BY-STEP EXPLANATION:

We have the following equation:

$\frac{1}{4}+\frac{1}{7}=\frac{1}{t}$

We solve for t:

$\begin{gathered} \frac{1\cdot7+4\cdot1}{4\cdot7}=\frac{1}{t} \\ \frac{11}{28}=\frac{1}{t} \\ t=\frac{28}{11}\approx2.5\text{ days} \end{gathered}$

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