SOLUTION: Towns A and B are 300 km apart. Samuel travels from A to B at a speed of 80 km/h. Darius leaves 30 minutes after Samuel and also travels from A to B, at a speed of 100 km/h. Dariu

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Question 1180038: Towns A and B are 300 km apart. Samuel travels from A to B at a speed of 80 km/h. Darius leaves
30 minutes after Samuel and also travels from A to B, at a speed of 100 km/h. Darius overtakes Samuel
t hours after Samuel has left town A .How long will it be before Darius overtakes Samuel?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Towns A and B are 300 km apart. Samuel travels from A to B at a speed of 80 km/h.
Darius leaves 30 minutes after Samuel and also travels from A to B, at a speed of 100 km/h. Darius overtakes Samuel

When Dairus leaves Samuel is 40 km ahead of Darius. (After 1/2 hour)
The catchup distance is 40 km/h
Catch up speed is 100-80 = 20 km/h
Catch up time = catch up distance/ catch up speed
=40/20 = 2hours