word problem for mathematics

Mathematics
Tutor: None Selected Time limit: 1 Day

May 21st, 2015

Overview:  We'll write 2 equations based upon the information given then use substitution to solve for Jen's time.

  

First, we'll assign variables:

      P = time it takes for Pat to shelve

      J = time it takes for Jen to shelve

The problem tells us that together they can shelve an entire cart in 24 min. We write this as...

     P + J = 24 

The problem also states that Pat can shelve 14 min faster than Jen. We write this as...

     P = J - 14

We substitute the above equation for P in terms of J into the equation   P + J = 24  and then solve for J...

     (J -14) + J = 24

     J - 14 + J = 24

     J + J -14 = 24

     2J  = 38

      J =19 

(Jen can shelve an entire cart in 19 minutes by herself)


We can check our solution by solving for P and then making sure that P + J = 24

   P = J -14

   P = (19) -14

   P = 5


   P + J = 24

  5 + 19 = 24   The solution checks!


I hope that helps. Please ask if you have any questions or would like a clarification on any step.

-Steve 

    



May 21st, 2015

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