Anamika can do a piece of work in 30 days an Anjali can do the same work in 40 days Anjali starts th...........

Quant (SSC) Time and work

Anamika can do a piece of work in 30 days an Anjali can do the same work in 40 days. Anjali starts the work alone and works for 15 days and left the work. After that remaining work completed by Anamika and Arun together in 7 1/2 days. In how many days can Arun do the whole work alone?

15 days

20 days

30 days

25 days

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Explanation:

Anamika's 1 day work = 1/30
Anjali's 1 day work = 1/40
Anjali's 15 day work = 15/40 = 3/8
Remaining work = 1 - 3/8 = 5/8
Let Arun can do the work in 'm' days.
Arun's 1 day work = 1/m
According to the question,
(1/30 + 1/m) x 15/2 = 5/8
1/30 + 1/m = 1/12
1/m = 1/12 - 1/30
1/m = 5 - 2 /60
1/m = 3/60 = 1/20
m = 20 days
Arun can do the whole work in 20 days.