Problema Solution

The Clarke family went sailing on a lake. Their boat average 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Their boat averaged 14 kilometers per hour. The Rourke family traveled 20 kilometers farther than the Clarke family. How many hours did each family spend on their boat trip?

Answer provided by our tutors

let 't' be the hours that each family spent on their boat trip


v1 = 6 km/h the speed of the boat of Clarke family

v2 = 14 km/h the speed of the boat of Rourke family


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


14t = 6t + 20


by solving we find


t = 2.5 h


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each family spent 2.5 hours on their boat trip.