At a little-known vacation spot, taxi fares are a bargain. A 16-mile taxi ride takes 24 minutes and costs $9.60. You want to find the cost of a 42-minute taxi ride. What unit price do you need?

$32.90

Step-by-step explanation:

You would need $32.90 to get travel by the taxi.

Find how long it take to have the same balance
Write the expressions represent the savings of Jen and the savings of Jason
For an instance, w stands for the number of weeks they take to have the same balance.

Jen ⇒ initial $350, additional $25/week, the expression will be
350 + 25w
Jason ⇒ initial $470, additional $15/week, the expression will be
470 + 15w

Then find the value of w using equation Jen's expression and Jason's expression
350 + 25w = 470 + 15w
25w - 15w = 470 - 350
10w = 120
    w = 120/10
    w = 12

They have the same balance in 12 weeks

Find how much each of them has in 12 weeks
350 + 25w
= 350 + 25(12)
= 350 + 300
= 650

They have each $650 in 12 weeks