SOLUTION: How far can a man drive into the country if he drives out at 40 miles per hour, returns over the same road at 30 miles per hour, and spends 8 hours away from home, including a 1-ho

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Question 1165874: How far can a man drive into the country if he drives out at 40 miles per hour, returns over the same road at 30 miles per hour, and spends 8 hours away from home, including a 1-hour stop for lunch?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x = miles driven into the country = miles driven in the return trip
x%2F40 = hours driving into the country
x%2F30 = hours spent driving back from the country to the man's home
1 hours spent not driving, included in the 8-hour trip
x%2F40%2Bx%2F30%2B1=8
Multiplying each side of the equal sign times 120 , we get
120%28x%2F40%2Bx%2F30%2B1%29=120%2A8
120%28x%2F40%29%2B120%28x%2F30%29%2B120%2A1=960
3x%2B4x%2B120=960
7x%2B120=960
7x%2B120-120=960-120
7x=840
x=840%2F7
highlight%28x=120%29