Work/Rate Problems

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

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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

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Source: Beat The GMAT — Problem Solving | Mon Mar 30, 2020 9:38 am

jbryant62: Junior | Next Rank: 30 Posts; Posts: 22; Joined: Wed Nov 23, 2016 4:04 pm; Thanked: 1 times

Re: Work/Rate Problems

by jbryant62 » Mon Mar 30, 2020 10:49 am

AAPL wrote: ↑
Mon Mar 30, 2020 9:38 am
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

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GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: Work/Rate Problems

by Brent@GMATPrepNow » Tue Mar 31, 2020 4:51 am

AAPL wrote: ↑
Mon Mar 30, 2020 9:38 am
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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Work/Rate Problems

by Scott@TargetTestPrep » Sat Apr 25, 2020 1:40 pm

AAPL wrote: ↑
Mon Mar 30, 2020 9:38 am
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

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