At his regular hourly rate, don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time don had estimated for the job, in hours?
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Answer:
24hrs
Step-by-step explanation:
rt=336........I
(r-2)(t+4)=336........II
from I and II
rt=(r-2)(t+4)
rt=rt+4r-2t-8
t=2r-4......III
336/r=2r-4 (since rt=336 , t=336/r)
336=2r^2-4r (roots of the equation=14,-12)
r=14 (solution cannot be negative)
put r in III
t=2(14)-4 =28-4 =24
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