Question

A car rental company offers the following two plans for renting a car:

Plan A: 30 dollars per day and 11 cents per mile
Plan B: 50 dollars per day with free unlimited mileage

Q: How many miles must one drive in order to justify choosing Plan B?

Answer 1

181.818181...Miles

Explanation:

50 = 30 + 11X

X = 181.81818181...

If you multiply 11 by 181.81 repeting you will get 20 and 30 + 20 = 50

So You would have to go 181.81 repeating miles for it to be equal

If you are rounding up it would be 182 miles to justify choosing plan B