p can do a work in 6 days. working with q, the work is completed in 7 days. if p starts work and p and q sequentially after one day, q alone can complete the work in how many days?
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Answer:
- Q can alone complete work in 9 days.
Given :
- P can do a work in 6 days.
- Both completed the work in 7 days.
To find :
- Q can alone complete work =?
Step-by-step explanation:
P = 1/6
P + Q = 7 days
P part first,
P works on 1, 3, 5, 7 day
P works for 4 days and Q works for 3 days.
So, P = 4² × 1/6³ = 2/3
Remaining = 1/3 part
So, Q do 1 parts work in 3 days.
Total 3 parts = 3 × 3 = 9 days.
Thus, Q can alone complete work in 9 days.
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