One machine, working at a constant rate, can fill a certain production order in 8 hours. How long would it take four...

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Veritas Prep

One machine, working at a constant rate, can fill a certain production order in 8 hours. How long would it take four identical machines, working at the same constant rate, to fill the order?

A. 2 hours
B. 4 hours
C. 8 hours
D. 16 hours
E. 32 hours

OA A

[Jay@ManhattanReview]

Veritas Prep

One machine, working at a constant rate, can fill a certain production order in 8 hours. How long would it take four identical machines, working at the same constant rate, to fill the order?

A. 2 hours
B. 4 hours
C. 8 hours
D. 16 hours
E. 32 hours

OA A

One machine can fill a certain production order in 8 hours; thus 4 machines can fill a certain production order in 8/4 = 2 hours.

Correct answer: A

Hope this helps!

-Jay
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[deloitte247]

Given that rate of work done is constant
If 1 machine can complete 1 order in 8 hours; it will complete x order in 1 hour
x=1/8

If 1 machine completes 1/8 order in 1 hour, then 4 machines will complete 1/8 * 4 in 1 hour
=> 4 machines will complete 1/2 in 1 hour

If it takes 1 hour for 4 machines to complete 1/2 of production order; it will take y hours for 4 machines to complete 1/1 of the order

$$\frac{1}{2}y=1$$
$$y=1\cdot\frac{2}{1}$$
$$y=2\ hours$$

$$Answer\ =\ A$$