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3 years ago

Josh and Greg leave from the same place

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

9514 1404 393

Answer:

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

Step-by-step 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.

<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation

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