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02-04-2017
Mathematics

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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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thatsocaroline thatsocaroline

02-04-2017

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

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