If machine A needs 2 hours to finish a work, machine B 3 hours and machine C 6 hours to finish the same work, how long will it take for machines A, B and C to complete the work if they work simultaneously?
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Answer:
1 hr
Step-by-step explanation:
time taken by machine A to complete the work=2h
part of work done by machine A in 1hr=1/2
time taken by machine b to complete the work=3hr
part of work done by machine b in 1hr=1/3
time taken by machine c to complete the work=6hr
part of work done by machine c in 1hr=1/6
if they work together work done in 1 hr=
1/6+1/3+1/2=(1+2+3)/6=1/1
time they will take 1 hr
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