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by bobdylan » Sat Jun 02, 2012 7:44 am
If 50 apprentices can finish a job in 4 hrs and 30 skilled workers can finish the same job in 4 1/2 hrs, how much of the job should be completed by 10 apprentices and 15 skilled workers in one hour?
a) 1/9
b) 29/180
c) 26/143
d) 1/5
e) 180/29
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by Anurag@Gurome » Sat Jun 02, 2012 8:07 am
bobdylan wrote:If 50 apprentices can finish a job in 4 hrs and 30 skilled workers can finish the same job in 4 1/2 hrs, how much of the job should be completed by 10 apprentices and 15 skilled workers in one hour?
50 apprentices finish the job in 4 hours.
10 apprentices finish the job in (4*5) = 20 hours.
Hence, in 1 hour 10 apprentices finish 1/20 of the job.

30 skilled workers finish the job in 4 and 1/2 hours
15 skilled workers finish the job in (4 and 1/2)*2 = 9 hours
Hence, in 1 hour 15 skilled workers finish 1/9 of the job.

Hence, in 1 hour 10 apprentices and 15 skilled workers finish (1/20 + 1/9) = (9 + 20)/180 = 29/180 of the job.

The correct answer is B.
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