Question
A bus travels 1/3 of the distance initially at a speed
of 40 km/h, the next 1/3 of the distance 50 km/h, and the final 1/3 of the distance at 60 km/h. Find the average speed of the bus for the entire journey. (Rounded off to two decimal places)Solution
Let the total distance be D. Each segment is D/3. Time for each segment: {D/3}/40 = D/120 {D/3}/50 = D/150 {D/3}/60 = D/180 Total time = {D/120} + {D/150} + {D/180} = {37D/1800} Average speed = {D/{37D/1800}} = {1800/37} = approx 48.65 km/h
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