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)

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