Last visit was: 22 Apr 2026, 06:29 It is currently 22 Apr 2026, 06:29
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 21 Apr 2026
Posts: 1,921
Own Kudos:
6,854
 [11]
Given Kudos: 241
WE:General Management (Education)
Expert
Expert reply
Posts: 1,921
Kudos: 6,854
 [11]
4
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
avatar
Deepakjhamb
Joined: 29 Mar 2020
Last visit: 15 Sep 2022
Posts: 216
Own Kudos:
Given Kudos: 14
Location: India
Concentration: General Management, Leadership
GPA: 3.96
WE:Business Development (Telecommunications)
Posts: 216
Kudos: 137
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
NikuHBS
Joined: 21 Apr 2018
Last visit: 09 Nov 2022
Posts: 42
Own Kudos:
26
 [1]
Given Kudos: 36
Posts: 42
Kudos: 26
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
urshi
Joined: 21 Feb 2018
Last visit: 19 May 2021
Posts: 126
Own Kudos:
Given Kudos: 448
Location: India
Concentration: General Management, Strategy
WE:Consulting (Consulting)
Products:
Posts: 126
Kudos: 142
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Machine A can produce 1,000 widgets in 5 hours. Machine B can produce 1,000 widgets in 10 hours. If machines A, B, and C working
independently and simultaneously can produce 1,000 widgets in 3 hours, how many hours would it take machine C alone to produce
1,000 widgets?

So, In 3 hours

Machine A produces 600 widgets ( 1000/5 = 200widgets/hour)
Machine B produces 300 widgets ( 1000/10 = 100widgets/hour)
so, Machine c produces 100 widgets in 3 hours, This implies Machine C will produce 1000 widgets in 30 hours.

ANSWER OPTION E
User avatar
jhavyom
Joined: 02 Sep 2019
Last visit: 17 Dec 2022
Posts: 173
Own Kudos:
Given Kudos: 28
Location: India
Schools: ISB'22
Schools: ISB'22
Posts: 173
Kudos: 268
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Machine A can produce 1,000 widgets in 5 hours. Machine B can produce 1,000 widgets in 10 hours. If machines A, B, and C working
independently and simultaneously can produce 1,000 widgets in 3 hours, how many hours would it take machine C alone to produce
1,000 widgets?

Machine A can produce 1,000 widgets in 5 hours.
So, In 1 hour, Machine A can produce 200 widgets
In 3 hours, Machine A can produce 600 widgets

Machine B can produce 1,000 widgets in 10 hours.
So, In 1 hour, Machine B can produce 100 widgets
In 3 hours, Machine B can produce 300 widgets

If machines A, B, and C working independently and simultaneously can produce 1,000 widgets in 3 hours

We know that, A produces 600 widgets and B produces 300 widgets, so, C must produce 100 widgets in 3 hours.

Therefore, C will take 30 hours to produce 1,000 widgets.

Choice E is the answer.
avatar
Deep99
Joined: 29 Mar 2020
Last visit: 15 Dec 2022
Posts: 6
Own Kudos:
1
 [1]
Given Kudos: 69
Posts: 6
Kudos: 1
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let the time taken by mc C be x.
Hence 1/10+1/5+1/x=1/3
Solve to get x=30

Posted from my mobile device
User avatar
AnirudhaS
User avatar
LBS Moderator
Joined: 30 Oct 2019
Last visit: 25 Jun 2024
Posts: 779
Own Kudos:
Given Kudos: 1,575
Posts: 779
Kudos: 887
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let Machine C make 1000 widgets in c hours
Therefore,
\(300+\frac{1000}{c} = \frac{1000}{3}\)
or, c = 30

Answer: E
User avatar
[email protected]
Joined: 02 May 2017
Last visit: 26 Apr 2021
Posts: 23
Own Kudos:
Given Kudos: 52
Posts: 23
Kudos: 27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
OA is E i.e., 30 hours.

Lets assume C takes x hours to make 1000 widgets

so rate of C = 1000/x widgets per hour

similarly rate of A = 1000/5 widgets per hour
and rate of B = 1000/10 widgets per hour

as given when A ,B and C work simultaneoulsy they can finish job in 3 hours

so 3*(per hour work of A) + 3*(per hour work of B ) + 3*(per hour work of C) = 1000

putting values from above we will get

3*(1/5) + 3*(1/10) + 3(1/x) =1

solving above eqauation we will get x =30 hours .
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,962
Own Kudos:
Posts: 38,962
Kudos: 1,117
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109741 posts
Tuck School Moderator
853 posts