SOLUTION: Teresa drive 204 miles in 9 gallons of gas. How many gallons of gas would she need to drive 374 miles as well as There are 810 dishes that need to be rinsed. John can rinse th

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Question 371394: Teresa drive 204 miles in 9 gallons of gas. How many gallons of gas would she need to drive 374 miles as well as
There are 810 dishes that need to be rinsed. John can rinse them in 135 minutes by himself. It will take his friend Bob 90 minutes to rinse these dishes. How long will it take them if they rinse these 810 dishes together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent gallons need to drive 374mi

204%2F9+=+374%2Fx

cross multiply to solve

204x = 9*274

x = 9*274/204



John can rinse them in 135 minutes by himself. 

Bob takes 90 minutes to rinse these dishes

Let x represent the time it takes together.  Per minute being the Equalizer

1/135 + 1/90 = 1/x  

Mulitplying each term by 90*135*x so as all denominators = 1

90x + 135x = 90*135

225x = 90*135

x = 90*135/225 = 54 minutes together