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