Question 1162990
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Here is an alternative method for solving a problem like this, if a formal algebraic solution is not required.<br>
For me, this alternative method is much faster than using formal algebra to write and solve an equation.<br>
The time spent driving is the total time of 1 1/12 hours, minus the 1/2 hour she spent in the store; that is 7/12 of an hour.<br>
The ratio of the walking and riding speeds is 1:6; so the amounts of time walking and riding are in the ratio 6:1.<br>
That means 6/7 of the total travel time was walking and 1/7 of it was riding.  That means 6/12 = 1/2 hour walking and 1/12 hour riding.<br>
The distance to the store is (1/2 hour)*(5mph) = 2.5 miles.
or...
The distance to the store is (1/12 hour)*(30mph) = 2.5 miles.<br>