Question

Diana is driving 182 miles to Orlando for a math convention. She has already driven x miles of the trip. If Diana drives below 70 miles per hour for the remainder of the trip, which inequality best represents the amount of time in hours, t, that it will take her to complete the remainder of her drive to Orlando?

Answer 1

Given the distance to Orlando = 182 miles

she has driven x miles, so the remaining = 182 - x

The speed of remaining distance below 70 miles per hour

The time = distance over the speed

so, the time = (182-x)/70

So, the inequality which represents the time it will take her to complete the remainder of her drive to Orlando

`t>(180-x)/(70)`