Question : Anil completed a certain journey by car. If he covered 35% of the distance at 70 km/h, 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is:
Option 1: $66 \frac{1}{6} $km/h
Option 2: $66 \frac{2}{3} $km/h
Option 3: $66 \frac{1}{3} $km/h
Option 4: $66 \frac{4}{3} $km/h
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Correct Answer: $66 \frac{2}{3} $km/h
Solution : Let the total distance covered be 100 km. Distance covered in the first case = 35% of 100 = 35 km Speed in the first case = 70 km/h Time taken in the first case = $\frac{1}{2}$ hr Distance covered in the second case = 40% of 100 = 40 km Speed in the second case = 80 km/h Time taken in the second case = $\frac{1}{2}$ hr Distance covered in the third case = 100 – 35 – 40 = 25 km Speed in the third case = 50 km/h Time taken in the third case = $\frac{1}{2}$ hr Average speed = $\frac{\text{Total distance}}{\text{Total time}}$ = $\frac{100}{\frac{1}{2}+\frac{1}{2}+\frac{1}{2}}$ = $\frac{100}{\frac{3}{2}}$ = $\frac{200}{3}$ = $66 \frac{2}{3} $km/h Hence, the correct answer is $66 \frac{2}{3} $km/h.
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Question : Mohan completed a certain journey by car. If he covered 30% of the distance at 90 km/hr, 45% of the distance at 135 km/hr, and the remaining distance at 75 km/hr. His average speed (in km/hr) for the entire journey is:
Option 1: 100
Option 2: 90
Option 3: 105
Option 4: 95
Question : Sriya with her family travelled from Bolpur to Suri by car at a speed of 40 km/h and returned to Bolpur at a speed of 50 km/h. The average speed for the whole journey is:
Option 1: $44\frac{4}{9}$ km/h
Option 2: $45$ km/h
Option 3: $45\frac{1}{2}$ km/h
Option 4: $44.78$ km/h
Question : A motorist travels to a place 150 km away at an average speed of 50 km/h and returns at 30 km/h. His average speed for the whole journey in km/h is
Option 1: 37.5
Option 2: 37
Option 3: 35
Option 4: 40
Question : Rajinder drives his car at an average speed of 40 km/hr to cover half of his total distance and thereafter he increases his speed to 60 km/hr. He covers his journey in 7 hours. What is the average speed of Rajinder on this journey?
Option 1: 52 km/hr
Option 2: 48 km/hr
Option 3: 50 km/hr
Option 4: 54 km/hr
Question : One-third part of a certain journey is covered at the speed of 10 km/hr, one-fourth part at the speed of 15 km/hr, and the rest part at the speed of 20 km/hr. What will be the average speed (in km/hr) for the whole journey?
Option 1: $15$
Option 2: $\frac{200}{17}$
Option 3: $\frac{240}{17}$
Option 4: $\frac{280}{17}$
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