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?
2m1/(1/5) = 10 one-fifth Miles.
$X for each of the last nine 1/5 miles.
= $9x
$2x for the 1st one-fifth mile.
2x + 9x = $4.40
11x = 4.40
X = $0.40 For each one-fifth mile after
the 1st.
2X = $0.80 for the 1st one-fifth mile.
To find out how much is charged for the first 1/5 mile and each 1/5 mile after the first one, let's break down the given information step by step:
1. The taxi company charges a total of $4.40 for a 2-mile trip.
2. To determine the cost per mile, we divide the total cost by the number of miles:
Cost per mile = $4.40 / 2 miles = $2.20 per mile
3. The taxi company charges twice as much for the first 1/5 mile.
4. We know that 1 mile is equivalent to 5 x 1/5 miles, so the total distance in terms of 1/5 miles is 10 (2 miles x 5).
5. Let's assume the cost for the first 1/5 mile is x. Then, the cost for each subsequent 1/5 mile after the first one would be half of x, or x/2.
6. Therefore, the cost breakdown would be as follows:
- Cost for the first 1/5 mile = x
- Cost for each subsequent 1/5 mile = x/2
Now, we need to find the value of x.
7. We can set up an equation using the given information:
2 miles x $2.20 per mile = $4.40
10 x 1/5 miles x ($x + (10-1) x $x/2) = $4.40
8. Simplifying the equation:
10 x 1/5 miles x (x + 9x/2) = $4.40
10 x 1/5 miles x (2x + 9x)/2 = $4.40
10 x 1/5 miles x 11x/2 = $4.40
110x/10 = $4.40
11x = $4.40
x = $4.40 / 11
x = $0.40
Therefore, the cost for the first 1/5 mile is $0.40, and each subsequent 1/5 mile after the first one would be $0.40/2 = $0.20.