SOLUTION: How far can the members of a bicycling club ride out into the country at a speed of 12 mph and return over the same road at 8 mph if they travel a total of 10 hours?

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Question 701905: How far can the members of a bicycling club ride out into the country at a speed of 12 mph and return over the same road at 8 mph if they travel a total of 10 hours?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is simply Rate*Time=Distance, for two trips for which both trips are the same Distance. Easiest solution process is to create a table.

Let d be the distance ridden out in the country.
Format: RATE--------------Time---------------Distance
Out:____12---------------(?) -----------------d
Return:__8---------------(??) ---------------d

How can we fill in the missing 'question marks for time? They'll be expressions. Rate*Time=Distance, so then Time=Distance/Rate.

Format: RATE--------------Time---------------Distance
Out: 12---------------( d/12) ---------------d
Return: 8---------------( d/8) -----------------d

Total time given for both combined trips was 10 hours.
d%2F12%2Bd%2F8=10, Solve for d.