Question

A can do a piece of work in 120 days while b can do it in 150 days . They started working together and worked for 20 days after this b left the work and a continued it . After 12 days c joined a and the remaining work waas completed in 48 days . How long will it take c to complete the work alone ?

Answer 1

Answer: 240 days

Step-by-step explanation:

A one days work = 1/120

B one days work = 1/150

(A+B) one days = 1/120+1/150=3/200

(A+B) 20 day work =3/200×20=3/10

A s 12 days work =1/120×12=1/10

C join =3/10+1/10=2/5

Ramining work =(1-2)/5=3/5

(A+C)48 days work =3/5×1/48=1/80

C one days work =1/80-1/20=1/240

C days=240 Ans