Question

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?

Answer 1

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