Bill can hammer 20 nails in 6 minutes. Jeff can do the same job in only 5 minutes . How long will it take them to finish if Bill hammers the first 5 nails, then Jeff hammers for 3 minutes then Bill finishes the job?A. 4.6 minutes
B. 5.0 minutes
C. 5.4 minutes
D. 5.8 minutes
E. 6.0 minutes
Answers
==> It takes him 6/20 = 0.3 minutes to hammer one nail.
==> If the total job is 20 nails, then he does 1/6 of the job in 1 minute.
Jeff hammers 20 nails in 5 minutes.
==> It takes him 5/20 = 0.25 minutes to hammer one nail.
==> If the total job is 20 nails, then he does 1/5 of the job in 1 minute.
Notice that the question doesn't say what size job they're assigned.
I'll assume it's a 20-nail job.
First step: Bill hammers 5 nails.
At 0.3 minutes per nail, that takes Bill 5 x 0.3 = 1.5 minutes
Second step: Jeff hammers for 3 minutes.
At 0.25 minute per nail, he adds 3/0.25 = 12 nails to Bill's 5, for a total of 17 so far.
Third step: Bill finishes the job.
There are (20 - 17) = 3 nails left to go.
At 0.3 minutes per nail, this takes Bill 3 x 0.3 = 0.9 minutes.
First step . . . . . 1.5 minutes
Second step . . . 3 minutes
Third step . . . . . 0.9 minutes
Total . . . . . . . . .5.4minutes
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Answers
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Answers
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Answers
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Answers
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