Problema Solution
Rob left the movie theater and traveled west at an average speed of 20 km/h. Imani left some time later travelingin the same direction at an average speed of 30 km/h. After traveling for two hours Imani caught up with Rob. Find the number of hours Rob traveled before Imani caught up.
Answer provided by our tutors
Let
x = number of hours Rob traveled before Imani caught up
v1 = 20 km/h the speed of Rob
v2 = 30 km/h the speed of Imani
After 2 hours Imani caught up with Rob that is
v1*(x+2) = the distance that Rob traveled (we are using the fromula distance = speed * time)
v2*2 = the distance that Imani traveled
these distances are equal thus
20*(x+2) = 30*2
x = 1 hours
Rob was traveled 1 hour before Imani started.
Let
x = number of hours Rob traveled before Imani caught up
v1 = 20 km/h the speed of Rob
v2 = 30 km/h the speed of Imani
After 2 hours Imani caught up with Rob that is
v1*(x+2) = the distance that Rob traveled (we are using the fromula distance = speed * time)
v2*2 = the distance that Imani traveled
these distances are equal thus
20*(x+2) = 30*2
x = 1 hours
Rob traveled 1 hour before Imani started.