A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 miles per hour. S

Question

A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch,
which is due west, at 7 miles per hour. Simultaneously, the cows began moving away from
him, too, headed due east at 3 miles per hour. How long did it take for the herd and the
ranch hand to be 2 miles apart? (Please help me !!)

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Thanh Thu 4 years 2021-08-23T09:03:10+00:00 1 Answers 20 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-23T09:04:14+00:00
    Reply

    Answer:

    1/5 hr or 12 min

    Step-by-step explanation:

    We are going to use the formula D = RT

    Let t = the time for  them to be 2 mi. apart

    Then 7t = the distance the ranch hand traveled

    and 3t = the distance the cows traveled

    Since they traveled in opposite directions, the sum of their distances will give us how far they are apart.

    So, 7t + 3t = 2

    10t = 2

    t = 2/10 = 1/5 hr. =  12 min.

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