A person takes a trip, driving with a constant speed of 98.5 km/h, except for a 20.0-min rest stop. The person's average speed is 68.8 km/h. (a) How much time is spent on the trip? h (b) How far does the person travel? km

Total time taken(T) = 1.1 hour

Distance = 75.68 km

Explanation:

Given:

Average speed = 68.8 km/h

Constant speed = 98.5 km/h

Rest time = 20 min = 20 / 60 = 0.3333 hour

Find:

Total time taken(T)

Total distance (D)

Computation:

Distance = speed × time

D = 68.8 × tEq1

and

D = 98.5 × [t-0.33]

D = 98.5 t - 32.8333Eq2

From Eq1 and Eq2

68.8 t = 98.5 t - 32.83333

29.7 t = 32.83333

t = 1.1

Total time taken(T) = 1.1 hour

Distance = speed × time

Distance = 68.8 × 1.1

Distance = 75.68 km

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