Maths-
General
Easy

Question

For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each 1 fifth of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?

  1. 3
  2. 8
  3. 12
  4. 15

The correct answer is: 12


    Hint:
    The concept used in this question is of representing situation in the form of equation.
    In equation, LHS = RHS, always.
    In this question, equation with one variable is used, which contain only one variable.
    Take constant value as it is the question and,
    Represent variable value as x or any alphabet.
    Step by step explanation:
    Given:
    Initial fare = $3.00
    Fare for each 1 fifth mile = $0.40
    Total rent = $27.00
    Step 1:
    Let the mile travelled be x miles.
    So, according to given information,
    Initial fare for ride is $3.00
    The rent for x miles will be 0.40 × 5x = $2.00x
    Step 2:
    Now calculate total fare
    the total fare will be,
    ⇒ Initial fare + fare for x miles
    ⇒ $3.00 + $2.00x
    ⇒ 3.00 + 2.00x
    Step 3:
    As, it is given that total fare is $27
    ∴ 3.00 + 2.00x = 27
    ⇒ 2.00x = 27 - 3
    ⇒ 2.00x = 24
    ⇒ x = fraction numerator 24 over denominator 2.00 end fraction
    ⇒ x = 12
    Hence, the distance travelled is 12 miles.

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