PSAT Math Grid-Ins Question 117: Answer and Explanation
Question: 117
Jamie can run 
miles in the time that Matt takes to run k miles. If Jamie and Matt run for the same amount of time and their combined mileage is 10 miles, how many miles did Jamie run?
Correct Answer: 6
Explanation:
(6) Jamie runs 
miles in the time that Matt runs k miles. Their combined distance is 10 miles, so create an equation to show this situation:
Get a common denominator so you can add like terms:
To solve for k, divide both sides by 
. This is the same as multiplying both sides by the reciprocal, 
:
However, the question asks how much Jamie runs, so you need to plug this value into :
So Jamie will run 6 miles.
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