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If 50 apprentices can finish a job in 4 hours and 30 skilled workers

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KarunMendiratta
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If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink] New post   19 Mar 2021, 05:18
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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 in one hour?

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

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

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

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

E. \(\frac{39}{121}\)
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink] New post   19 Mar 2021, 08:09
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KarunMendiratta, please give the answer, I'm stucked.
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink] New post   19 Mar 2021, 08:24
Varonos

Check your PM
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink] New post   19 Mar 2021, 22:56
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
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink] New post   20 Mar 2021, 11:30
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
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink] New post   20 Mar 2021, 22:45
Ks1859
Thanks. I have made the necessary changes
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink]
20 Mar 2021, 22:45
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