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
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?