Question

At his regular hourly rate, Don had estimated the labor cost of a repair job as 336$andhewaspaidthatamount.However,thejobtook$4$hourslongerthanhehadestimatedand,consequently,heearned$ $2$ per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?

• A. $28$
• B. $24$
• C. $16$
• D. $14$
• E. $12$

Answer 1

Answer: (B)

$24$

Don's regular hourly rate $=\frac{336}{T}$

Don's estimated Hourly rate in this situation $=\frac{336}{T+4}$

Don's Loss per Hour$=2$

Now, Let us Calculate $T$ as

$\Rightarrow \frac{336}{T+4}-\frac{336}{T}=2$

Solving it we get a Quadratic Equation

$\Rightarrow T^2+4T-672=0$

$\Rightarrow T=24,-28$

Since, Time cannot be negative so $T=24$

Therefore Answer is $\left(B\right)$