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

It would take them
`(110)/(21)` or approximately 5.24 hours together

Explanation:

Use the algebra work formula,
`(1)/(tb)` =
`(1)/(t1)` +
`(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:

`(1)/(tb)` =
`(1)/(t1)` +
`(1)/(t2)`

`(1)/(tb)` =
`(1)/(10)` +
`(1)/(11)`

Find the common denominator, then add the fractions together:

`(1)/(tb)` =
`(11)/(110)` +
`(10)/(110)`

`(1)/(tb)` =
`(21)/(110)`

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them
`(110)/(21)` or approximately 5.24 hours together