Question

Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.

Answer 1

The answer would be 21 good luck hope you get it correct

Answer 2

Answer:

It would take them  $\frac{110}{21}$ or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, $\frac{1}{tb}$ = $\frac{1}{t1}$ + $\frac{1}{t2}$, where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.

Plug in 10 and 11:

$\frac{1}{tb}$ = $\frac{1}{t1}$ + $\frac{1}{t2}$

$\frac{1}{tb}$ = $\frac{1}{10}$ + $\frac{1}{11}$

Find the common denominator, then add the fractions together:

$\frac{1}{tb}$ = $\frac{11}{110}$ + $\frac{10}{110}$

$\frac{1}{tb}$ = $\frac{21}{110}$

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them $\frac{110}{21}$ or approximately 5.24 hours together