thinking outside of the box

posted by .

one taxi company charges 75 cents for the first quarter mile and 15 cents for each additional mile the competing taxi company charges 1.00 for the first quarter mile and 10 each additional mile what distance would produce the same fare for the two taxi companies?

  • mathematics -

    The fare is the same when the distance x satisfies this equation:

    0.75 + 0.15(x-0.25) = 1.00 + 0.10(x-0.25)

    0.15x + 0.7125 = 0.10x + 0.9750

    x = 5.25 miles

    You could do this without algebra. After the first quarter mile, the second taxi costs 25 cents more. You need to go 5 more miles to make up the difference at 5 cents per mile.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. human relations

    one taxi cab company charges 75 cents for the first quarter mile and 15 cents for each additional quarter mile. the competing taxi company charges 1.00 for the first quarter mile and 10 cents for each additional mile. what distance …
  2. Office Management

    One taxicab charges 75 cents for the first quarter-mile and 15 cents for each additional mile. The competing taxi company charges $1.00 for the first quarter-mile and 10 cents for each additional mile. 1. what distance would produce …
  3. math

    one taxi charges 75 cents for the first quarter-mile and 15 cents for each additional quarter-mile. the second company charges $1.00 for the first quarter-mile and 10 cents for each additional quarter mile. What distance would produce …
  4. Math

    A taxi company charged $4.40 for a 2 mile trip. It charges certain amount for each 1/5 mile traveled. It charges twice as much for the first 1/5 mile. How muchis charged for the first 1/5 mile and each 1/5 mile after the first one?
  5. algerbra

    A taxi company charges $2.40 for the first mile and $1.20 per mile for each additional mile. How much would the bill be for a 15 mile trip?
  6. pre calculus

    A taxi company charges $2.00 for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise-defined function of the distance x traveled (in …
  7. Precalc

    A taxi company charges $4.00 for the first mile (or part of a mile) and 40 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise-defined function of the distance x traveled (in …
  8. math

    Your taxi charges $3.00 for the first one-fourth of a mile and $0.50 for each additional one quarter of a mile. How much will the charge be if you have driven for 1.75 miles?
  9. math

    if the taxi fare is c cents for the first quarter mile and s cent for each additional quarter mile ,what is the charge ,in cents ,for a trip of x miles,where x is greater than!?
  10. Math

    A taxi charges $.75 for the first quarter mile and $.35 for each additional mile. How far did Freddie ride if he paid no more than $7.40 for his taxi?

More Similar Questions