SOLUTION: Jim and Tom , working together , can weed the garden in 3 hours. Working alone , Tom takes three times as long as Jim . How long does it take Jim to weed the garden alone ?

Algebra.Com
Question 1134198: Jim and Tom , working together , can weed the garden in 3 hours. Working alone , Tom takes three times as long as Jim . How long does it take Jim to weed the garden alone ?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13195)   (Show Source): You can put this solution on YOUR website!


Since Tom takes 3 times as long as Jim if they work alone, Jim works 3 times as fast as Tom.

So in working together, Jim does 3/4 of the work and Tom does 1/4 of it.

That means Jim does 3/4 of the work in 3 hours; 3/4 of the job in 3 hours means he needs another hour to do the other 1/4 of the job.

ANSWER: It takes Jim working alone 3+1=4 hours to weed the garden.

Answer by josgarithmetic(39614)   (Show Source): You can put this solution on YOUR website!
---
Working alone , Tom takes three times as long as Jim
---

3j, time for Tom
j, time for Jim


----
Jim and Tom , working together , can weed the garden in 3 hours.
----



-


-------------Jim would need 4 hours, working alone.

RELATED QUESTIONS

Tom and Matt working together can weed the garden in four hours. Working alone, Matt... (answered by ewatrrr)
Cara and Jim, working together, can weed the garden in 2 hours. Working alone, Jim takes... (answered by ikleyn,greenestamps)
Jim and Shirley, working together, can rake the yard in 3 hours. Working alone, Shirley... (answered by lwsshak3,josgarithmetic)
Pam and Jena, working together, can weed the garden in 9 hours. Working alone, Jena takes (answered by Boreal)
Tom and Matt, working together, can paint the deck in 9 hours. Working alone, Matt takes... (answered by richwmiller)
Cara and Craig working together can weed the garden in 6 hours. Working alone Craig takes (answered by lwsshak3)
Jena and Tom, working together, can paint the deck in 9 hours. Working alone, Tom takes... (answered by Cromlix)
Pam and Matt, working together, can weed the garden in 8 hours. Working alone, Matt takes (answered by mananth,MathTherapy,greenestamps)
Bob and Joan working together can weed a garden in 6 hours. Working alone, Joan takes 3x (answered by mananth)