A bicyclist heads east at 19km/h. After she has traveled 24.2km, another cyclist sets out in the same direction going 30km/h. About how long will it take the second cyclist to catch up to the first cyclist?
A. 3.2 hours
B. 3.7 hours
C. 2.2 hours
D. 1.7 hours

The generic equation of movement for this case is:

 r = v * t + ro

 Where,

 v: speed

 t: time

 ro: initial position

 We write the equation for each cyclist,

 For Cyclist A:

 r = 19 * t + 24.2

 For cyclist B:

 r = 30 * t

 Equating equations we have:

 19 * t + 24.2 = 30 * t

 Clearing t:

 t = 24.2 / (30-19)

 t = 2.2 h

 It will take the second cyclist to catch up to the first cyclist about:

 t = 2.2 h

Step-by-step explanation:

1. minimum

2. 6400

3. eight

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