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jeka94
3 years ago
13

Jina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Jina drove h

ome, there was no traffic and the trip only took
4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Jina live from the mountains?
Do not do any rounding.
Mathematics
2 answers:
NNADVOKAT [17]3 years ago
4 0

I need a clear understanding....

NISA [10]3 years ago
3 0

Answer:

  264 miles

Step-by-step explanation:

Using the relation ...

  distance = speed · time

we can rearrange to get ...

  speed = distance/time

We can choose to let d represent the distance we want to find. Then Jina's speed going to the mountains is d/6. Her speed coming home is then d/6+22. It takes Jina 4 hours at that speed to cover the same distance, so we have ...

  d = 4(d/6 +22)

  d = 2/3d +88 . . . . eliminate parentheses

  1/3d = 88 . . . . . . . subtract 2/3d

  d = 264 . . . . . . . . . multiply by 3

Jina lives 264 miles from the mountains.

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