Josh and Greg leave from the same place and travel the same route. Josh travels 2 hours and stops. Greg travels 5 hours at

Question

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.

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Doris 3 years 2021-08-15T20:45:44+00:00 1 Answers 34 views 0

Answers ( )

  1. Acacia
    0
    2021-08-15T20:47:07+00:00
    Reply

    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.

    __

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

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