Abby P.

asked • 09/20/18

An ostrich can run 7 mph faster than a giraffe. An ostrich can run 8 mi in the same time that a giraffe can run 7 mi. Find the speed of each animal.

Find the speed of each animal.

1 Expert Answer

By:

Jeffrey K. answered • 09/17/20

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Hi Abby:


Let giraffe's speed be G and Ostrich speed be O.


Then, from the first sentence: O = G + 7 . . . . . . (1)


Suppose they both run 8 miles. We uses the equation: T = D/S . . . . . . time = distance / speed


8/O = 7/G

Or 8G = 7O . . . . . . cross-multiplying


Substitute from (1): 8G = 7(G + 7)

8G = 7G + 49

G = 49 mph


Substitute back into (1): O = 56 mph


Check: Ostrich runs 8 miles in 8/56 = 1/7 hours

Giraffe runs 7 miles in 7/49 = 1/7 hours



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