with P starting the work, working on alternate days P and Q can finish a work in 17 days, if you works on the first day and Q and P work alternately the work is finished in 50/3 days, how many days will each take individually to execute the work?
amitnrw:
you ? if you works on the first day
You is Q
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Answer:
Q will finish in 14 days
P will finish in 21 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 50/3 days
50/3 = 16 + 2/3 Days
=> Q works for 8 + 2/3 = 26/3 Days & P work for 8 Days
Work done = 8P + 26Q/3
9P + 8Q = 8P + 26Q/3
=> P = 2Q/3
=> 3P = 2Q
Work Done = 9P + 8Q = 6Q + 8Q = 14Q
Q will finish in 14 days
9P + 8Q = 9P + 12P = 21P
P will finish in 21 Days
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