Question : A car travels the first 160 km at a speed of 64 km/hr and the next 160 km at a speed of 80 km/hr. What is the average speed for the first 320 km of the tour?
Option 1: 70 km/hr
Option 2: 71.11 km/hr
Option 3: 66 km/hr
Option 4: 75.32 km/hr
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Correct Answer: 71.11 km/hr
Solution : The first 160 km are travelled at 64 km/hr. Time taken for this journey $=\frac{160}{64} = 2.5$ hr Next 160 km are travelled at 80 km/hr. Time taken for this journey $=\frac{160}{80} = 2$ hr Hence, the total time taken for the journey of 320 km = (2.5 + 2) = 4.5 hr Hence, the average speed for first 320 km $=\frac{320}{4.5} = 71.11$ km/hr Hence, the correct answer is 71.11 km/hr.
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