Problema Solution
you leave home in a car at 8:oo am traveling 50 miles per hour. Your friend leaves in his truck 2 hours later going 65 miles per hour in an attempt to catch up to you. Approximately what time will he catch up to you?
Answer provided by our tutors
Let
v1 = 50 mph
v2 = 65 mph
t = the time of the travel with v1 = 50 mph
t - 2= the time of the travel with v2 = 65 mph
Assuming you start the travel from the same location and travel in the same direction we have:
v1t = v2(t - 2) (We use the formula distance = speed*time)
50t = 65(t - 2)
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click here to see the equation solved for t
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t = 26/3 hr
t = 8 hr 2*60/3 min
t = 8 hr 40 min
The truck will catch up in 8 hours and 40 minutes.