This means the inverse of time it would take everyone working together equals

the sum of the inverses of times it would take each person working individually

Given r = 7 and s = 6, we have:

1

7

+

1

6

The denominators of our 2 fractions are not equal. We need to have matching denominators in order to add the 2 fractions.

To do this, we multiply the numerator of fraction 1 by the denominator of fraction 2. We also multiply the numerator of fraction 2 by the denominator of fraction 1 as illustrated below.

Denominator

We add those 2 results, and get our numerator. Our denominator is the product of the denominators of both fractions.

Fraction 1 + Fraction 2 =

Numerator 1 x Denominator 2 + Numerator 2 x Denominator 1

Denominator 1 x Denominator 2

Fraction 1 + Fraction 2 =

1 x 6 + 1 x 7

7 x 6

Fraction 1 + Fraction 2 =

6 + 7

42

Fraction 1 + Fraction 2 =

13

42

Solve for t:

1

t

=

13

42

t =

42

13

Convert to minutes:

Minutes =

60 x 42

13

Minutes =

2520

13

In minutes, this is equal to 193.84615384615

Final Answer

In hours, this is equal to 3 hours, 13 minutes also equal to 3.2307692307692 hours

What is the Answer?

In hours, this is equal to 3 hours, 13 minutes also equal to 3.2307692307692 hours

How does the Work Word Problems Calculator work?

Free Work Word Problems Calculator - Given Person or Object A doing a job in (r) units of time and Person or Object B doing a job in (s) units of time, this calculates how long it would take if they combined to do the job. This calculator has 2 inputs.

What 1 formula is used for the Work Word Problems Calculator?