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domenica19
17.12.2019 •
Mathematics
Pat has been assigned the job of picking apples from the family orchard. he could do the job alone in 8 hours. he knows that his sister, patti, could do the job in 7 hours. he begs her to , and she agrees. how long will both of them take to pick the apples? (round your answer to the nearest tenth.)
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Ответ:
3.7 hours
Step-by-step explanation:
Pat could do the job alone in 8 hours.
Patti could do the job alone in 7 hours
Output = Rate * time
Let the rate at which pat does the work = Rp
Let the rate at which Patti does the work = Rt
Let X be the total output
Rp * 8 = X
Rp = X/8
Rt * 7 = X
Rt = X/7
If both pat and Patti pick apples, we have
(Rp+Rt)T = X
(X/8 + X/7)T = X
[(7X + 8X)/56]T = X
[X(7+8)/56]T = X
Divide both sides by X
[(7+8)/56]T = 1
(15/56)T = 1
T = 56/15
T = 3.7 hours
Ответ:
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