SOLUTION: An experienced clerk can fill a certain order in 7 hours. A new clerk needs 10 hours to do the same job. working together, How long will it take them to fill the order.
My ans
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Question 223636: An experienced clerk can fill a certain order in 7 hours. A new clerk needs 10 hours to do the same job. working together, How long will it take them to fill the order.
My answer is 8.5 hours. I added both their times together and divided by 2.
Please help.
Found 2 solutions by stanbon, tutor_paul:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An experienced clerk can fill a certain order in 7 hours. A new clerk needs 10 hours to do the same job. working together, How long will it take them to fill the order.
My answer is 8.5 hours. I added both their times together and divided by 2.
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Since one of them can do the job in 7 hrs, it shouldn't take them
more time to do the job together. Right!
It doesn't work to add the times. You need to work with the rates.
--------------------
Old-clerk DATA:
time = 7 hr/job ; rate = 1/7 job/hr
---------------------
New-clerk DATA:
time = 10 hr/job ; rate = 1/10 job/hr
---------------------
Together DATA:
time = x hr/job ; rate = 1/x job/hr
-----------------------------------------
Equation:
rate + rate = together rate
1/7 + 1/10 = 1/x
Multiply thru 70x
10x + 7x = 70
17x = 70
x = 70/17 hrs.
x = 4.12 hrs (time for them to do the job together)
==============================
Cheers,
Stan H.
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Let t = time in hours:
hours
===============
Good Luck,
tutor_paul@yahoo.com
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