Question

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?

Answer 1

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