Question

P and q can do a work in 2 days q and r can do it in 4 days and p and r can do in 12/5 days. what is the no.of days required for p alone

Answer 1

for P 13 days require

Answer 2

Answer:

3 days

Step-by-step explanation:

1/p +1/q = 1/2

1/q + 1/r = 1/4  ------------ equation 1

1/p + 1/r = 5/12

adding three equation

2(1/p+1/r+1/q)=(1/2+1/4+5/12)=14/12=7/6

1/p+1/q+1/r = 7/12  ----------- equation 3

Subtracting equation 1  from the equation 3

1/p=7/12-1/4

1/p=4/12=1/3

So p alone can do it in 3 days