Person A completes the job in Hours
Person B completes the job in Hours
  

If it takes Person A 7 hours to do something

and Person B, 6 hours to do something

how long would it take if they worked together?

Use Work Formula:

1/r + 1/s = 1/t

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?

1/r + 1/s = 1/t

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Work Word Problems Calculator?

word problem
Math problems involving a lengthy description and not just math symbols
work
Measure of energy transfer when an object moves
W = F * d
work word problems
Work Word Problems Calculator Video

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