Suppose you're driving to the city at a constant speed of 75 mi/h for 50 miles. Then construction slows you to a pokey rate of 45 mi/h for the remainder of the trip. You arrive after driving 2 hours and 15 minutes. How far do you live from the city? A. 180 mi B.120 mi C.200 mi D.71 mi 71 mi
The distance equals the initial 50 miles at 75 mph + additional miles at 45mph.
50 m / 75mph = 2/3 hr = 40 minutes
The REST of the time was at 45 MPH 2 hr 15 min - 40 min = 1 hr 35 min @ 45 MPH
Rate times time = distance 45 MPH x 1 hr 35 min = 45 mph x 1.58333hr = 71.25 miles
PLUS the initial 50 miles = 121.25 miles