Three people Mike, John and Peter can do a work together in 30 days. Mike and John together do twice the work done by Peter alone. Mike and Peter together do thrice the work done by John alone. Find the time taken to complete the project if John alone was working.

Question

KINGSHUK GHOSH DASTIDAR · Accepted Answer

let mike, john and peter take a,b,c days to complete a work.
then, 1/a+1/b+1/c=1/30... (i)
again, 1/a+1/c= 3/b ..... (ii)
put (ii) in (i)
4/b= 1/30
or b= 120 days

Ashok Namathoti · Answer

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Three people Mike, John and Peter can do a work together in 30 days. Mike and John together do twice the work done by Peter alone. Mike and Peter together do thrice the work done by John alone. Find the time taken to complete the project if John alone was working.