Question
For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?
- 3
- 8
- 12
- 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 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 =
⇒ x = 12
Hence, the distance travelled is 12 miles.
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