pt question

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pt question

by jamesk486 » Mon May 07, 2007 6:53 am
Machine A working alone can complete a job in 3 1/2 hours. Machine B working alone can do the same job in 4 2/3 hours. How long will it take both machines working together at their respective constant rates to complete the job?

A. 1 hour 10 min
B. 2 hr
C. 4 hr 5 min
D. 7 hr
E. 8 hr 10 min
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by Cybermusings » Mon May 07, 2007 8:37 am
Machine A working alone can complete a job in 3 1/2 hours. Machine B working alone can do the same job in 4 2/3 hours. How long will it take both machines working together at their respective constant rates to complete the job?

A. 1 hour 10 min
B. 2 hr
C. 4 hr 5 min
D. 7 hr
E. 8 hr 10 min

A --- 7/2 hrs
B --- 14/3 hrs

Together in 1 hr = 1/(7/2) + 1/(14/3) = 2/7 + 3/14 = (4+3)/14
= 7/14 or 1/2 work

Hence complete work in 2 hrs