Work/Rate Problems

[AAPL]

If Machine X can make 40 widgets in 8 minutes, how many widgets can it make in 1 hour?

A. 90
B. 180
C. 240
D. 300
E. 320

The OA is D

Source: Magoosh

[jbryant62]

If Machine X can make 40 widgets in 8 minutes, how many widgets can it make in 1 hour?

A. 90
B. 180
C. 240
D. 300
E. 320

The OA is D

Source: Magoosh

If the machine produces 40 in 8 minutes, this means the machine produces 5 per minute. 40/8=5. to calculate the amount per hour multiply by 60 minutes. 300/hr D

[Brent@GMATPrepNow]

If Machine X can make 40 widgets in 8 minutes, how many widgets can it make in 1 hour?

A. 90
B. 180
C. 240
D. 300
E. 320

The OA is D

Source: Magoosh

Given: Machine X can make 40 widgets in 8 minutes
This means that: Machine X can make 80 widgets in 16 minutes [ double the time, double the output]

Likewise if we multiply the original information by 7 we get: Machine X can make 280 widgets in 56 minutes
If we multiply the original information by 0.5 we get: Machine X can make 20 widgets in 4 minutes
When we ADD these two results, we get: Machine X can make 300 widgets in 60 minutes

Answer: D


Cheers,
Brent

[Scott@TargetTestPrep]

If Machine X can make 40 widgets in 8 minutes, how many widgets can it make in 1 hour?

A. 90
B. 180
C. 240
D. 300
E. 320

The OA is D

Source: Magoosh

Solution:

Since 1 hour is 60 minutes, Machine X can make 40/8 x 60 = 5 x 60 = 300 widgets.

Alternate solution:

We can set up a proportion in which x is the number of widgets that can be made in 1 hour, or 60 minutes:

40/8 = x/60

5 = x/60

300 = x

Answer: D