SOLUTION: A student did a word-processing job for $48. It took him 8 hours longer than he expected, and therefore he earned $3 per hour less than he anticipated. How long did he expect that
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Question 1027022: A student did a word-processing job for $48. It took him 8 hours longer than he expected, and therefore he earned $3 per hour less than he anticipated. How long did he expect that it would take to do the job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I think the key to this problem is that the student
took the job for a FLAT RATE of $48.
If he was being paid hourly at a fixed HOURLY rate
and took longer, he would have made more, not less
---------------------------------------------
Let = time in hours he expected
it would take to do the job
= time in hours it actually
took him to do the job
Let = hourly rate in dollars he
expected to be paid for the job
= hourly rate in dollars that
he actually got paid for the job
-----------------------------------
Equation for what he expected would happen:
(1)
Equation for what actually happened:
(2)
-------------------------
(2)
(2)
and
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
I notice that and
, so I can guess that:
(2)
Time has to be positive, so
He expected to finish the job in 8 hrs
---------------------------------
check:
(1)
(1)
(1) dollars/hr
and
(2)
(2)
(2)
(2)
(2) dollars/hr
OK
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