Roger can run one mile in 6 minutes. Jeff can run one mile in 4 minutes. If Jeff gives Roger a 1 minute head start, how long will it take before Jeff catches up to Roger? How far will each have run?

Question

Mathematics

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7 October, 22:47

Roger can run one mile in 6 minutes. Jeff can run one mile in 4 minutes. If Jeff gives Roger a 1 minute head start, how long will it take before Jeff catches up to Roger? How far will each have run?

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Scarlett Downs · Answer 1

Roger speed 1/6 mile/min

Jeff speed 1/4 mile/min

Set Jeff catch Roger at x， time t

X = 1/6*t

X=1/4 * (t-1)

=> 1/6*t=1/4 (t-1)

4t=6t-6

t=3

X=1/2