A bus leaves Panama for David city at 8:00 a.m. with an average speed of 60 km/h. Another bus leaves David city for Panama at 9:00 a.m. and maintains an average speed of 80 km/h. When they meet, which of the two is closest to Panama?

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A bus leaves Panama for David city at 8:00 a.m. with an average speed of 60 km/h. Another bus leaves David city for Panama at 9:00 a.m. and maintains an average speed of 80 km/h. When they meet, which of the two is closest to Panama?

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Step 1
Given:A bus leaves Panama for David city at 8:00 a.m. with an average speed of 60 km/h. Another bus leaves David city for Panama at 9:00 a.m. and maintains an average speed of 80 km/h. 
To find: When they meet,which of the two is closest to Panama?
 
Solution: Let bus-A travel at a speed of 60 km/hr and bus-B travel at a speed of 80 km/hr.
 
Let both the buses meet after t hours from the starting time of bus-B.
 
Distance traveled by bus-B = 80×t  ................(1)
 
Since bus-A has already started 1 hour before bus-B, distance traveled by bus-A = 60×(t+1)  .......................(2)
 
Since both are meeting , distance given in eqn.(1) and eqn.(2) are same.
 
hence 80×t = 60×(t+1)  .................(3)
 
 
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