Question

P and Q completed a work together and were paid rs 1,080 and rs. 1,440, respectively. If P can do the entire work in 20 days, how many days did they take to complete the work together?

Answers

oobleck
no way to tell. How is their pay related to the time worked?
If their hourly pay rate is the same, then it appears that P worked 3/4 as long as Q.
So if P can do the job in 20 days, Q can do it in 80/3 days.
1/20 + 1/(80/3) = 7/80
So they can do the job in 80/7 days together
Kaur
How 3/4 came??
Kindly explain @oobleck
oobleck
he got paid 3/4 as much, so ...
Kaur
Sorry dear, @ oobleck, i didn't understand 3/4 concept
Alice
Efficiency=Money paid
P/Q = 1080/1440=3/4
Total work = 3*20=60
(As efficiency of P is 3 and can do the work in 20days)
P+Q will do the work in 60/3+4=60/7= 8 4/7 days.

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