Question

A and B can do a piece of work in 10 days B and C in 15 days and C and A in 20 days they all work at it for 6 days and then A leaves and B and C go on together for 4 days more if B then leaves how long will C take to complete the work ​

Answer 1

Since we have given that

Number of days in which A and B can do a piece of work = 12 days

Number of days in which B and C can do a piece of work = 15 days

Number of days in which C and A can do a piece of work = 20 days

L.C.M of 12, 15, 20 = 60

Number of units done by A and B = 60/12=5

Number of units done by B and C = 60/15=4

Number of units done by C and A =60/20=3

Number of days all A, B and C take together is given by

60x2/5+4+3

=120/12

=10

Hence, A, B, and C together take 10 days to complete a piece of work.

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