With p starting the work, working on alternate days, p and q can finish a work in 17 days. If q works on the first day and q and p work alternately, the work is finished in 53/3 days. How many days will each take individually to execute the work?
Answers
Answered by
6
Answer:
Q will finish in 35 days
P will finish in 35/3 Days
Step-by-step explanation:
Lets say P's 1 day work = P
& Q's 1 day work = Q
With p starting the work, working on alternate days, p and q can finish a work in 17 days.
=> P works for 9 days & Q works for 8 days
Work done = 9P + 8Q
If q works on the first day and q and p work alternately, the work is finished in 53/3 days
53/3 = 17 + 2/3 Days
=> Q works for 9 Days & P work for 8 + 2/3 = 26/3 Days
Work done = 9Q + 26P/3
9P + 8Q = 9Q + 26P/3
=> Q = P/3
=> P = 3Q
Work Done = 9P + 8Q = 27Q + 8Q = 35Q
Q will finish in 35 days
P will finish in 35/3 Days
Answered by
0
Step-by-step explanation:
9P+8Q=TW=9Q+8⅔P
⅓P=Q
P:Q=3:1 (eff)
Day's they Required to complete will be in the ratio 1:3
Varify From Options
Similar questions