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Applied Problems: Motion - page 18 / 38

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Sherry and Bob like to jog in the park.  Sherry can jog at 5 mph, while Bob can jog at 7 mph.

If Sherry starts 30 minutes ahead of Bob, how long will it take Bob to catch up to Sherry?

Bob

Sherry

Distance

Time

Rate

   5

  7

 x

Let x = the time it takes Bob to catch Sherry

x + 1/2

5(x + 1/2)

7x

Sherry  started 30 minutes or 1/2 hour before Bob, so her time

must reflect that amount.  Rate is in miles per hour, time must

be in hours so our units match.

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