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Justin drove to to the mountains last weekend there was heavy traffic on the way there and the trip took 8 hourswhen Justin drove home there was no traffic and they trip only took 6 hours if his average rate is 16 miles per hour faster on a trip home how far away does Justin live from the mountains

Respuesta :

Answer: Distance at which he lives from the mountains = 384 miles

Step-by-step explanation:

Since we have given that

Time taken by him if there was a heavy traffic = 8 hours

Time taken by him if there was no traffic = 6 hours

Let the speed at which Justin drove be x

Since we know that distance will be the same,

So, According to question,

[tex]8x=6(x+16)\\\\8x=6x+96\\\\8x-6x=96\\\\2x=96\\\\x=\frac{96}{2}\\\\x=48\ miles\ per\ hour[/tex]

so, Distance will be

[tex]Distance=Speed\times Time\\\\Distance=48\times 8\\\\Distance=384\ miles[/tex]

Hence, Distance will be 384 miles.

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