Question : During a journey, a person travels half of the distance at a speed of 18 km/h and the remaining half of the journey at a speed of 22 km/h. What is his average speed for the entire journey?
Option 1: 21.4 km/h
Option 2: 20.2 km/h
Option 3: 19.2 km/h
Option 4: 19.8 km/h
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Correct Answer: 19.8 km/h
Solution : Let $d$ be the total distance of the journey. Half of the distance at 18 km/h and the remaining half at 22 km/h ⇒ Total Time for the journey = $\frac{d}{2×18}$ +$\frac{d}{2×22}$ ⇒ average Speed = $\frac{\text{d}}{\text{$\frac{d}{2×18}$ +$\frac{d}{2×22}$ }}$ = $\frac{\text{d}}{\text{$\frac{22d}{2×18×22}$ +$\frac{18d}{2×18×22}$ }}$ = $\frac{d}{\frac{40d}{2×18×22}}$ = $\frac{18×22}{20}$ = 19.8 Hence, the correct answer is 19.8 km/h.
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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 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
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 : If a person travels a certain distance at a speed of 10 km/h and returns through the same route at a speed of 20 km/h, then what will be the average speed during the whole journey?
Option 1: $\frac{40}{3}$ km/h
Option 2: 15 km/h
Option 3: $\frac{10}{3}$ km/h
Option 4: $\frac{20}{3}$ km/h
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
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