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:
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:
Convert to minutes:
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
