SOLUTION: Sandy leaves a town traveling in her car at a rate of 40 miles per hour. One hour later, Monica leaves the same town traveling the same route at a rate of 50 miles per hour. How lo

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Question 893028: Sandy leaves a town traveling in her car at a rate of 40 miles per hour. One hour later, Monica leaves the same town traveling the same route at a rate of 50 miles per hour. How long will it take Monica to overtake Sandy?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Monica travels for t hours of time, having left later, but moving faster than Sandy.
Each departed from the same place and after t hours are at the same distance.

_______________speed_________time________distance
SANDY__________40____________1+t_________d
MONICA_________50_____________t__________d

40%28t%2B1%29=d=50t
40%28t%2B1%29=50t
4%28t%2B1%29=5t
4t%2B4=5t
highlight%28t=4%29