Problema Solution

Two friends are surfing at a popular beach. Jorell is paddling out on his board, going 4 kilometers per hour. At the same time, 3 kilometers directly in front of Jorell, Levon has caught a big wave and is riding it back in at a rate of 26 kilometers per hour. In how much time will the two surfers pass each other?

Answer provided by our tutors

let


v1 = 4 km/h the speed of Jorell

v2 = 26 km/h the speed of Levon

d = 3 km

t = the time of the surfing before they pass each other


since speed = distance/time => distance = speed*time


v1*t + v2*t = d


4t + 26t = 3


by solving the equation we find


t = 0.1 h = 0.1*60 min = 6 min


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the two surfers will pass each-other in 6 minutes.