SOLUTION: John made $ 171 for 9 hours of work. At the same rate, how many hours would he have to work to make $ 342 ?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: John made $ 171 for 9 hours of work. At the same rate, how many hours would he have to work to make $ 342 ?       Log On


   

Question 1144246: John made
$
171
for
9
hours of work.
At the same rate, how many hours would he have to work to make
$
342
?

Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.
Use the proportion


    171%2F9 = 342%2Fx,


where x is the unknown number of hours.


The proportion expresses the fact that the rate (hourly rate) is the same in both cases.


From the proportion, find


    x = %28342%2A9%29%2F171 = 2*9 = 18 hours.    ANSWER

Solved.


Or, if you want, you can solve it MENTALLY, without using equations, at all. 

The hourly rate is  171%2F9 = 19 dollars per hour.

Then your answer simply is  342%2F19 = 18 hours.



Or, even simpler, if John makes 171 dollars in 9 hours, then, at the same rate,  he will make 342 dollars, 

which is twice as much as 171 dollar, in 18 hours, which is twice as long as 9 hours.


Of these three solutions methods,  you may choose and use  EITHER  of them.


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Also,  next time  PLEASE  format your post as if you write in lines  HORIZONTALLY,  not vertically.

Do it at least to show your politeness to the tutors.


Thank you very much.