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

Nadia Hammond

1 November, 01:24

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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Billy Carson · 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