Greg drove at a constant speed in a rainstorm for 228 miles. He took a break, and the rain stopped He then drove 205 miles at a speed that was 3 miles per hour faster than his previous speed. If he drove for 11 hours, find the car's speed for each part of the trip.

Question

Mathematics

Julian Prince

15 August, 10:27

Greg drove at a constant speed in a rainstorm for 228 miles. He took a break, and the rain stopped He then drove 205 miles at a speed that was 3 miles per hour faster than his previous speed. If he drove for 11 hours, find the car's speed for each part of the trip.

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Answers (1)

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Kamari Poole · Answer 1

37.86 mph and 40.86 mph

Step-by-step explanation:

The speed for the first session is x, for the second session will be x+3

Average speed = (x+x+3) / 2 = x+1.5

Total distance covered will be 228+205=433 miles

Time = 11 hours

Time = Distance / speed

Speed = distance/time

Average Speed = 433/11

x+1.5=433/11

x+1.5=39.36363636

x=39.36363636 - 1.5 = 37.86363636

Approximately, x = 37.86 mph

x+3=37.86+3 = 40.86 mph