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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
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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
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Re: If 50 apprentices can finish a job in 4 hours and 30 skilled workers [#permalink]
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]
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