Two buses start simultaneously towards each other from towns A and B which are 480Km apart. The first bus takes 8 hours to travel from A to B while the second bus takes 12 hours to travel from B to A. determine when and where the buses will meet.

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Solution

Speed of first bus = 480/8 = 60 km/hr
Speed of second bus = 480/12 = 40 km/hr
When they travel in opposite directions, relative speed is the sum of their speeds, i.e. (60 + 40) = 100 km/hr
Therefore the buses will meet in (480/100) = 4.8 hrs.
Distance from A where they will meet = Speed of A x Time = 60 x 4.8 = 288 km.

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