Last visit was: 22 Dec 2024, 23:27 It is currently 22 Dec 2024, 23:27

Close

GRE Prep 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 GRE 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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3267 [3]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
avatar
Intern
Intern
Joined: 18 Mar 2021
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 31
Send PM
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3267 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3267 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink]
KarunMendiratta wrote:
If 50 apprentices can finish a job in 4 hours and 30 skilled workers can finish the same job in 4.5 hour, how much of the job can be completed by 10 apprentices and 15 skilled workers?

A. \(\frac{1}{9}\)

B. \(\frac{29}{180}\)

C. \(\frac{16}{143}\)

D. \(\frac{1}{5}\)

E. \(\frac{39}{121}\)


OA Explanation:

More numbers of workers will take less time to finish the job and vice-versa i.e. less workers would require more time to finish the job

50 apprentices can do a job in 4 hours
So, \(\frac{50}{5}=10\) apprentices would require \((4)(5)=20\) hours

Similarly,
30 skilled workers can do a job in 4.5 hours
So, \(\frac{30}{2}=15\) skilled workers would require \((4.5)(2)=9\) hours

Work done by both together = \(\frac{1}{20}+\frac{1}{9}=\frac{(9+20)}{(20)(9)}=\frac{29}{180}\)

Hence, option B
Retired Moderator
Joined: 09 Jan 2021
Posts: 576
Own Kudos [?]: 846 [0]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink]
KarunMendiratta wrote:
If 50 apprentices can finish a job in 4 hours and 30 skilled workers can finish the same job in 4.5 hour, how much of the job can be completed by 10 apprentices and 15 skilled workers?

A. \(\frac{1}{9}\)

B. \(\frac{29}{180}\)

C. \(\frac{16}{143}\)

D. \(\frac{1}{5}\)

E. \(\frac{39}{121}\)



KarunMendiratta

I think the question is missing something. For eg how much of the job can be completed by 10 apprentices and 15 skilled workers in x hours or something?

Regards
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3267 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink]
Ks1859
Thanks. I have made the necessary changes
Prep Club for GRE Bot
Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne