# math

Sue can shovel snow from her driveway in 45 minutes. Bill can do the same job in 65 minutes. How long would it take Sue and Bill to shovel the driveway if they worked together?

1. Add up the "driveways per minute" of the two. That times the time T must equal 1 driveway

1 = (1/45 + 1/65) T
T = 1/(1/45 + 1/65)= 26.6 minutes

posted by drwls
2. Sue = 1/45

Bill = 1/65

Together = 1/x

1/45 + 1/65 = 1/x

We have a fractional equation.

Solve for x.

What is the LCD of 45, 65 and x?

It 585x.

We now multiply every term on BOTH sides of the fractional equation by the LCD.

(1/45)(585x) + (1/65)(585x) = (1/x)(585x)

13x + 9x = 585

22x = 585

Divide BOTH sides of the linear equation (not fractional anymore) by 22 to find x.

x = 585/22

x = 26.59

How long would it take Sue and Bill to shovel the driveway if they worked together?

Answer: 26 hours and 59 seconds, which we can also accept as 27 hours.

Done!

posted by Guido

## Similar Questions

Sue can shovel snow from her driveway in 35 minutes. Bill can do the same job in 50 minutes. How long will it take Sue and Bill to shovel the driveway if they worked together. (1/35) + (1/50) T T=1 (1/35) + (1/50)= Is the answer:
2. ### math

sue an shovel snow from her driveway in 55 minutes. Bill can do the same job in 60 minutes. how long would it take if they did it together.
3. ### Math

Lisa can shovel snow from her driveway in 45 minutes. Bill can do the same job in 65 minutes. How long would it take Lisa and Bill to shovel the driveway if they worked together?
4. ### Algebra

sue can shovel snow from her driveway in 60 minutes. Tom can do the same job in 35 minutes. how long would it take Sue and Tom to shovel the driveway if they work together?
5. ### algebra

Sue can shovel snow from her driveway in 40 minutes. Tom can do the same job in 35 minutes. How long would it take Sue and Tom to shovel the driveway if they worked together?
6. ### Algebra

Sue can shovel snow from her driveway in 45 minutes. Jim can do the same job in 55 minutes. How long would it take them if they worked together?
7. ### Word problems

Jenny can shovel snow from her driveway in 60 minutes. Tom can do the same job in 55 minutes. How long would it take both of them together to shovel the drivway if they worked together. I am coming up with 28 minutes.. is this
8. ### algebra

I am unsure of what formula to use for this problem can anyone help me? Lisa can shovel snow from her driveway in 60 minutes, Jim can do the same job in 55 minutes. How long will it take Lisa and Jim to shovel the driveway if they
9. ### ALGEBRA

Janet can shovel snow from her driveway in 55 minutes. Jim can do the same job in 35 minutes. How long would it take Janet and Jim to shovel the driveway if they worked together? ____ minutes ??
10. ### Algebra

WELL SOMEONE HELP ME SOLVER THIS PROBLEM PLEASE!!!!!! Janet can shovel snow from her driveway in 55 minutes. Jim can do the same job in 50 minutes. How long would it take Janet and Jim to shovel the driveway if they worked

More Similar Questions