1.A father can do a job in a certain number of hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does it take the father to do the job alone?

Question

1.A father can do a job in a certain number of hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does it take the father to do the job alone?
A.9
B.18
C.12
D.10

3.David is 5 years older than Paul. In 5 years, David will be twice as old as Paul is now. How old is David now?
A.15
B.10
C.25
D.20
this is what i have so far:
D=p+5
2D+p(i'm not sure if this is right)

bobpursley · Answer

1. combined rate=1/F +.5/F=1.5/F=1/6 f=9 hrs D-5=P D+5=2P subtract second equation from first -10=-P P is 10 now, so D is 15

Reiny · Answer

job/rate = time --> rate = job/time

let the fathers rate = job/x
let the son's rate be job/2x

combined rate =job/x + job/2x
= 3job/(2x)

combined time = job ÷(3job/2x)
= job (2x/3job)
= 2x/3

but 2x/3 = 6
2x = 18
x = 9

It would take 9 hrs for the father to work alone

3.
Paul's age --- x
David's age -- x+5

in 5 years:

David --> x+10

x+10 = 2x
x = 10

Paul is now 10 and David is now 15