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Abdul drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Abdul drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Abdul live from the mountains? Please show work because it doesn’t make sense any other way!

1 Answer

4 votes
Call the distance to the mountains x
Average speed there = x / 8 mph
Average speed back = x / 6 mph
x / 6 = x / 8 + 16
Multiply both sides by 24 (lowest common multiple of 6 and 8)
24x / 6 = 24x / 8 + 16x24
4x = 3x + 384
x = 384 miles
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