P and Q are the only two applicants qualified for a short-term research project that pays 300 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
Pick one:
A) $5
B) $10
C) $15
D) $20
E) $25
Let Q's hourly wage be x, then P's hourly wage is 1.5x   Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.   Since they both are paid an equal total amount of $300:   x*T=1.5x*(T-10)   T = 30 hours and Q's hourly wage is 300/30= 
<gadget id="calculator">300/30</gadget>
<output>10</output>
$10   P's hourly wage is 300/(T-10)= $15 which is $5 per hour more.   The answer is $5.
<result>A</result>
P and Q are the only two applicants qualified for a short-term research project that pays 300 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?