Anabel's horse runs 24 miles per hour. Jackie's horse runs 28 miles per hour. Both horses stand at the starting line of a straight 2-mile track, and Jackie's horse starts running 30 seconds after Anabel's. How many miles from the starting line does Jackie's horse catch up to Anabel's?

Question

Cassie Jefferson

Mathematics

16 December, 10:16

Anabel's horse runs 24 miles per hour. Jackie's horse runs 28 miles per hour. Both horses stand at the starting line of a straight 2-mile track, and Jackie's horse starts running 30 seconds after Anabel's. How many miles from the starting line does Jackie's horse catch up to Anabel's?

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Answers (1)

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Jimmy Schwartz · Answer 1

Distance = rate * time

Distance traveled by Jackie's horse d = 28t

Distance traveled by Anabel's horse d = 24t + 1/5

28t = 24t + 1/5 4t = 1/5 t = 1/20 The same distance is traveled in 1/20 hour

d = 28t d = 28 (1/20) d = 1 2/5

1 2/5 miles = 1.4 miles