Patrick, by himself, can paint four rooms in 10 hours. if he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?
the answer i got was 15 hours, is that correct?
2007-09-16 15:58:26 · 5 answers · asked by book worm 1 in Science & Mathematics ➔ Mathematics
Patrick's rate=4/10=0.4 rph
(P+A)=4/6=2/3 rph
A=(A+P)-P
=2/3-2/5
=4/15 rph
4=A*time
time=4/(4/15)
=15 hours
you are right
2007-09-16 16:13:17 · answer #1 · answered by Mugen is Strong 7 · 0⤊ 0⤋
Let
x = amount of time April needs to paint alone.
1 = 6/10 + 6/x
1 - 6/10 = 6/x
2/5 = 6/x
x = 6(5/2) = 15 hours
You are correct.
2007-09-16 23:20:24 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋
15 is correct.
Patrick takes 10/4 hours to paint one room. If he works 6 hours, then he paints 2.4 rooms. This means that April paints 1.6 rooms in 6 hours or 3.75 hours to paint one room.
3.75*4=15. 15 is the correct answer.
2007-09-16 23:09:57 · answer #3 · answered by Your Best Fiend 6 · 0⤊ 0⤋
10 hours because in 6 hours together with Patrick, they have done the same hours on four rooms.
2007-09-16 23:12:34 · answer #4 · answered by Cherry Montales M 1 · 0⤊ 1⤋
no its not right
2007-09-16 23:07:24 · answer #5 · answered by sam n 2 · 0⤊ 3⤋