Posted by **clara** on Thursday, January 5, 2012 at 5:45am.

lean can paint her new apartment 3 hours longer than his friend,carlos.if both can do painting in 2 hours,how long will it take each one to finish the job alone?

- algebra -
**Bayarbold**, Thursday, January 5, 2012 at 6:42am
labour*time=job time=job/labour

time=3 and 3x=1 x=1/3

If both can do painting in 2 hours,So

(x+y)2=1 x=1/3 hence (1/3+y)*2=1

And y is 1/6.We can say that it take 6hours to finish the job alone.

- algebra -
**Reiny**, Thursday, January 5, 2012 at 8:26am
let Carlos' time be x hrs

so rate for Carlos = 1/x

Lean's time is x+3

Lean's rate = 1/(x+3)

combined rate = 1/x + 1/(x+3)

= (x+3 + x)/(x(x+3)) = (2x+3)/(x(x+3))

1/[ (2x+3)/(x(x+3))] = 2

x(x+3)/(2x+3) = 2

x^2 + 3x = 4x + 6

x^2 - x - 6 = 0

(x-3)(x+2) = 0

x = 3 or x=-2, the latter is not possible

Carlos would take 3 hrs, and Lean would take 6 hrs alone

check:

combined rate = 1/3 + 1/6 = 1/2

combined time = 1/(1/2) = 2

- algebra -
**Sharon**, Saturday, January 21, 2012 at 1:46pm
Keiko bicycles 4km/h faster than Carlos. In the same time it takes Carlos to Bicycle 45km, Keiko can bicycle 57km. How fast does each bicyclist travel?

## Answer this Question

## Related Questions

College Algebra - It takes Todd 3 hours longer than Tom to paint a 4x5 feet ...

algebra 2/trig - Tina can paint a room in 8 hours, but when she and her friend ...

math - May takes 12 hours to type a report. Her friend helps her and together ...

math - 1.a collection of 105 coins consists of 1 peso and 5 pesos. if the total ...

algebra2/trig - tina can paint a room in 8 hours, but when she and her friend ...

algebra - you can paint a room in 8 hours. your friend and you can paint a room ...

Intermediate Algebra - A painter can paint a fence in 12 hours working alone. ...

Intermediate Algebra - A painter can paint a fence in 12 hours working alone. ...

math - nadia can paint a room in 5 hours Nat can paint the same room in 7 hours ...

maths, variations - i'm not sure how this question works the number of hours (h...