Question

The Millers must make a 70-mile Thanksgiving trip to visit their grandparents. Pat Miller believes in driving at a steady rate of 50 miles per hour.
(a) How much time will it take Pat to make the trip?
(b) How many miles will the Millers travel in 18 minutes?
(c) Write an expression for the number of miles they will cover in t minutes of driving. (d) After t minutes of driving, how many miles remain to be covered?

Answer 1

Answer:

(a) 1.4 hours or 1 hour 24 minutes.

(b) 15 miles.

(c) (5/6)t  miles.

(d) 70 -  (5/6 t  miles.

Step-by-step explanation:

(a) speed =  distance / time

50 = 70 / t

t = 70/50

t = 7/5

t = 1.4 hours.

(b)  18 minutes = 18/60 = 0.3 hours.

50 = distance / 0.3

distance = 50 * 0.3

= 15 miles.

(c). 50 = d /  (t/60)

50 = 60d / t

60d = 50t

d = (5/6) t  miles.

(d)  Number of miles remaining after t minutes =  70 - (5/6) t  miles.