Question

At a little-known vacation spot, taxi fares are a bargain. A 64-mile taxi

ride takes 72 minutes and costs $57.60. You want to find the cost of a 49-mile taxi ride. What unit
price do you need?

Answer 1

We need unit price per mile

Spare way

But we can solve it through ratios if time is same

• 64/57.6=49/x
• 1.12=49/x
• x=49/1.12
• x=$43.75

Answer 2

$44.10

Explanation:

Method 1

Given:

• 64 miles = $57.60

To find the cost per mile, divide the total given cost by the given number of miles:

⇒ Cost per mile = $57.60 ÷ 64 = $0.90

To find the cost of a 49 mile tax ride, multiply the cost per mile by 49:

⇒ Cost of 49 mile tax ride = $0.90 × 49 = $44.10

Method 2

We can use ratios of cost to miles to find the solution.

Let x = cost of a 49 mile taxi ride

`\begin{aligned}\sf \$57.60:64 & = \sf x:49\\\sf (57.6)/(64) & =\sf (x)/(49)\\\sf 57.6(49) & = \sf 64x\\\sf 2822.4 & = \sf 64x\\ \sf x&= \sf (2822.4)/(64)\\ \sf x & = \sf \$44.10\end{aligned}`