Problema Solution
Luis Nunez begins walking at a rate of 4mph. Thirty minutes after he leaves, his wife, Kristin, realizes that Luis has forgotten his wallet. Kristin get on her bicycle and begins riding at a rate of 14 mph along the same path that Luis took.
A) How long will it take for Kristin to catch Luis?
B) How far from their house will Kristin catch Luis?
Answer provided by our tutors
let
v1 = 4 mph the speed of Luis Nunez
v2 = 14 mph the speed of Kristin
t = the time of Luis Nunez travel
t - 0.5 = the time of Kristin's travel (since 30 min = 0.5 hours)
A) How long will it take for Kristin to catch Luis?
t*4 = (t - 0.5)*14
by solving we find
t = 0.7 hours
click here to see the step by step solution of the equation
t = 0.7*60 = 42 min
t - 0.5 = 0.2 hr = 12 min
Kristin will catch up on Luis after 12 minutes.
B) How far from their house will Kristin catch Luis?
0.2*14 = 2.8 miles