Problema Solution
There are 630 dishes that need to be rinsed. Alanzo can rinse them in 105 minutes by himself. Felipe can rinse them in 70 minutes. How long would it take them if they rinse these dishes together?
Answer provided by our tutors
Alonzo's rate is v1 = 630/150 dishes per min.
Felipe's rate is v2 = 630/70 dishes per min.
Let 'x' represent the number of minutes Alonzo and Felipe need to rinse the dishes together.
The together rate of Alonzo and Felipe is: v = 630/x dishes per min.
Now w can write:
v1 + v2 = v
630/150 + 630/70 = 630/x divide both sides by 630
1/150 + 1/70 = 1/x
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click here to see the equation solved for x
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x = 47.63 min
It will take them 47.63 minutes to rinse the dishes together.