Question

The relationship between speed, distance, and time can be modeled using this equation, where: s = speed
, d = distance, and t = time.
s = d/t
Part 1
You're on a road trip with friends, but you can't see the GPS. You want to calculate how many miles you will drive on each highway.

Rewrite the equation so it is solved for d.
Show all steps.
Part 2
You just merged onto the PA turnpike, and the GPS started "Continue for 90 minutes." Your friend follows the speed limit of 70 mph and maintains a constant speed
Using your equation from Part 1, determine how many miles you will travel on the turnpike. Show all your work.

*Speed is in miles per hour. Make sure your time is converted to the same unit!*

Answer 1

Part 1 — solve for d

s = d / t
Multiply both sides by t to isolate d:
s · t = (d / t) · t
s · t = d

So d = s · t.

Part 2 — compute miles traveled

Given s = 70 mph and time = 90 minutes. Convert minutes to hours:
t = 90 min × (1 hour / 60 min) = 90/60 = 1.5 hours.

Use d = s · t:
d = 70 mph × 1.5 h = 105 miles.

You will travel 105 miles on the turnpike.