Bob drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Bob drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour faster on the trip home, how far away does Bob live from the mountains? Do not do any rounding.

Question

Mathematics

Kobe Arellano

25 December, 16:47

Bob drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Bob drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour faster on the trip home, how far away does Bob live from the mountains? Do not do any rounding.

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Answers (1)

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Athena Howe · Answer 1

Answer:280 miles

let x=rate of speed on the way to mountains

x+21=rate of speed on the way home

travel time*rate=distance

8x=5 (x+21)

8x=5x+105

3x=105

x=35

8x=280

how far away does Bob live from the mountains? = 280 miles