SOLUTION: If Austin stuffed 30 envelopes in 6 minutes and Dylan stuffed 40 envelopes in 8 minutes, who was faster?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Austin stuffed 30 envelopes in 6 minutes and Dylan stuffed 40 envelopes in 8 minutes, who was faster?      Log On


   

Question 917132: If Austin stuffed 30 envelopes in 6 minutes and Dylan stuffed 40 envelopes in 8 minutes, who was faster?
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
This is an envelope stuffing rate problem.

Austin stuffed 30 envelopes in 6 minutes
So Austin's envelope-stuffing rate is 

30 envelopes PER 6 minutes

PER means OVER

That's 30 envelopes OVER 6 minutes (OVER as in a fraction):

matrix%281%2C2%2C30%2Cenvelopes%29%2Fmatrix%281%2C2%2C6%2Cminutes%29

Divide top and bottom by 6

matrix%281%2C2%2C5%2Cenvelopes%29%2Fmatrix%281%2C2%2C1%2Cminute%29

So that rate is 

5envelopes%2Fminute

Austin's rate is "five envelopes per minute".

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Dylan stuffed 40 envelopes in 8 minutes
So Dylan's envelope-stuffing rate is 

40 envelopes PER 8 minutes

PER means OVER

That's 40 envelopes OVER 8 minutes (OVER as in a fraction):

matrix%281%2C2%2C40%2Cenvelopes%29%2Fmatrix%281%2C2%2C8%2Cminutes%29

Divide top and bottom by 8

matrix%281%2C2%2C5%2Cenvelopes%29%2Fmatrix%281%2C2%2C1%2Cminute%29

So that rate is 

5envelopes%2Fminute

Dylan's rate is "five envelopes per minute".

who was faster?
Neither was faster because both stuffed at the same rate of
5envelopes%2Fminute 

Edwin