Question

Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50 PM. (a) Express the distance traveled in terms of the time elapsed. g

Answer 1

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or $\frac{5}{6}$ hours from Detroit to Ann Arbor.

By the formula,

Speed = $\frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}$

Speed = $\frac{40}{\frac{5}{6}}$

           = 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = $\frac{d}{t}$

d = 48t