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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Question : A person covers the first 15 km in 60 minutes and the next 24 km in 30 minutes. What is his average speed for the whole journey?
Option 1: 33 km/hr
Option 2: 26 km/hr
Option 3: 29 km/hr
Option 4: 23 km/hr
Question : A person covers the first 25 km in 60 minutes and the next 38 km in 30 minutes. What is his average speed for the whole journey?
Option 1: 46 km /hr
Option 2: 49 km/hr
Option 3: 42 km/hr
Option 4: 36 km /hr
Question : A man covers half part of a certain distance at 60 km/hr. He covers 40% of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: 24 km/hr
Option 2: $\frac{58}{3}$ km/hr
Option 3: 36 km/hr
Option 4: 40 km/hr
Question : A man covers half part of a certain distance at 15 km/hr. He covers 40 percent of the remaining distance at the speed of 12 km/hr and covers the rest of the distance at the speed of 21 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{140}{9}$ km/hr
Option 2: $15$ km/hr
Option 3: $\frac{164}{9}$ km/hr
Option 4: $\frac{139}{9}$ km/hr
Question : A man covers half part of a certain distance at 35 km/hr. He covers 40 percent of the remaining distance at the speed of 8 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{920}{47}$ km/hr
Option 2: $\frac{680}{47}$ km/hr
Option 3: $\frac{840}{47}$ km/hr
Option 4: $\frac{760}{47}$ km/hr
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