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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Correct Answer: $\frac{840}{47}$ km/hr
Solution : Let the distance be D km. According to the question, Distance at 35 km/hr, he covers = $\frac{1}{2}$ × D At 8 km/hr, he covers 40% of $\frac{1}{2}$ × D = $\frac{1}{5}$D The rest of the distance = D – $\frac{1}{2}$D – $\frac{1}{5}$D = $\frac{3}{10}$D, he covers at 18 km/hr So, total time = $\frac{\frac{1}{2} × D}{35} + \frac{\frac{1}{5} × D}{8} + \frac{\frac{3}{10} × D}{18} = \frac{47D}{840}$ ⇒ Average speed $=\frac{\text{Distance}}{\text{Time}} = \frac{D}{\frac{47D}{840}} = \frac{840}{47}$ km/hr Hence, the correct answer is $\frac{840}{47}$ km/hr.
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Question : A man covers half part of a certain distance at 25 km/hr. He covers 40% 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: $\frac{650}{37}$ km/hr
Option 2: $\frac{540}{37}$ km/hr
Option 3: $\frac{600}{37}$ km/hr
Option 4: $\frac{480}{37}$ 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 : Arpit completes a journey in 10 hours. He covers half of the distance at 30 km/hr, and the remaining half of the distance at 70 km/hr. What is the length of the journey?
Option 1: 500 km
Option 2: 210 km
Option 3: 320 km
Option 4: 420 km
Question : A train moves at a speed of 35 km/hr for the first 2 hours and at a speed of 50 km/hr for the next 4 hours. Find the average speed of the train during the entire journey.
Option 1: 47 km/hr
Option 2: 50 km/hr
Option 3: 45 km/hr
Option 4: 35 km/hr
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