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kramer
3 years ago
12

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 work

ed together.
Mathematics
2 answers:
Natali [406]3 years ago
4 0
The answer would be 21 good luck hope you get it correct
Wittaler [7]3 years ago
3 0

Answer:

It would take them  \frac{110}{21} or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, \frac{1}{tb} = \frac{1}{t1} + \frac{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:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}

\frac{1}{tb} = \frac{1}{10} + \frac{1}{11}

Find the common denominator, then add the fractions together:

\frac{1}{tb} = \frac{11}{110} + \frac{10}{110}

\frac{1}{tb} = \frac{21}{110}

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them \frac{110}{21} or approximately 5.24 hours together

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