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 job50 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