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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

 Jun 1, 2016
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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    

 Jun 1, 2016

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