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Josh and Greg leave from the same place

and travel the same route. Josh travels 2
hours and stops. Greg travels 5 hours at
double Josh's rate. After five hours, they
are 256 miles apart. Find the rate and
distance of each.

User Bstakes
by
3.6k points

1 Answer

6 votes

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Answer:

  • Josh: 32 mph, 64 mi
  • Greg: 64 mph, 320 mi

Explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

distance = speed · time

distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

distance = speed · time

distance = (2x) · 5 = 10x

The distance they are apart is ...

10x -2x = 256

8x = 256

x = 32

__

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

__

Check: 320 miles - 64 miles = 256 miles . . . . correct separation

User Panama Jack
by
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