Posted by **Lueshelle** on Wednesday, April 25, 2012 at 10:33am.

Dal and Kim can assemble a swing set in 1/1/2 hrs,working alone it takes Kim 4 hrs longer than Dal to assemble the swing set.How long would it take Dal to working alone to assemble the set

- intermediate algebra -
**Steve**, Wednesday, April 25, 2012 at 11:40am
Dal takes d

Kim takes k

Dal&Kim take b (for both)

1/b = 1/d + 1/k

1/(3/2) = 1/d + 1/(d+4)

2/3 = 1/d + 1/(d+4)

multiply through by 3d(d+4) to get

2d(d+4) = 3(d+4) + 3d

2d^2 + 8d = 3d + 12 + 3d

2d^2 + 2d - 12 = 0

d^2 + d - 6 = 0

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

d = -3 or 2

must have positive time, so d=2

That is, Dal takes 2 hours by himself

check:

1/2 + 1/6 = 2/3 = 1/(3/2)

## Answer this Question

## Related Questions

- algebra - Dal and kim can assemble a swing set in 1.5 hours. working alone it ...
- Intermediate Algebra - Dale and Kim can assemble a swing set in 1 1/2 hours....
- Math - Bryan and Kim are painting a house. Working together they can paint a ...
- HSE - Two companies working together can clear a parcel of land in 8 hrs. ...
- Math word problem 2 - Sabine and Hercule can assemble a table in 45 minutes. ...
- Algebra - It takes matt 9 hrs longer to build a wall than it takes chris. ...
- math - Filling a tank. Two pipes are connected to the same tank. Working ...
- Alegebra - Working alone it takes Jerry 9 hrs to mop a warehouse. Ruth can mop ...
- college intermediate algebra - Working together, two people can mow the lawn in ...
- algebra - Kim can mow the greens at golf course twice as fast as I can. Working ...