Question : A person covers the first 30 km in 60 minutes and the next 40 km in 30 minutes. What is his average speed for the whole journey?
Option 1: $\frac{140}{3}$ km/hr
Option 2: 30 km/hr
Option 3: $\frac{160}{3}$ km/hr
Option 4: 60 km/hr
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Correct Answer: $\frac{140}{3}$ km/hr
Solution : Given: A person covers the first 30 km in 60 minutes and the next 40 km in 30 minutes. The total time taken = 1 + $\frac{30}{60}$ = 1 + $\frac{1}{2} = \frac{3}{2}$ hr The total distance = 30 + 40 = 70 km. The average speed for the whole journey = $\frac{\text{The total distance}}{\text{The total time taken}}=\frac{70}{\frac{3}{2}}=\frac{70\times2}{3}=\frac{140}{3}$ km/hr Hence, the correct answer is $\frac{140}{3}$ km/hr.
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