Problema Solution

total distance traveled is 90km. total time is 4 hours. return trip is 30 minutes longer than outgoing trip. Cyclist rode 45 km one way, turned around and returned home. How long did she travel going and coming?

Answer provided by our tutors

total time is 4 hours. return trip is 30 minutes longer than outgoing trip


let


t = the time of the outgoing trip


t + 0.5 since the return trip is 30 minutes longer than outgoing trip and 3o min = 30/60 hours = 0.5 hours


total time is 4 hours


t + t + 0.5 = 4


2t + 0.5 = 4


t = (4 - 0.5)/2


t = 1.75 h = 1 h 0.75*60 min = 1h 45 min


1h 45 min - 30 min = 1h 15 min the return trip


the outgoing trip took 1h 45 min the return trip took 1h 15 min.