A bicyclist heads east at 19 km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30 km/h. About how long will it take the second cyclist to catch up to the first cyclist?
Accepted Solution
A:
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 Answer: It will take the second cyclist to catch up to the first cyclist about: t = 2.2 h