Question : Kartik takes 4 hours to travel from place X to place Y at the speed of 80 km/hr. He takes 1 hour to travel from place Y to place Z with 80% increased speed. What is the average speed from Place X to Z for the complete Journey?
Option 1: 82.6 km/hr
Option 2: 90.8 km/hr
Option 3: 92.8 km/hr
Option 4: 88.6 km/hr
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Correct Answer: 92.8 km/hr
Solution : Time to travel from place X to place Y = 4 hours Speed when travelling from place X to place Y = 80 km/hr Distance from place X to place Y = 4 × 80 = 320 km Time to travel from place Y to place Z = 1 hour Speed when travelling from place Y to place Z = 80 × 180% = 144 km/hr Distance from place Y to place Z = 144 × 1 = 144 km Average speed = $\frac{\text{total distance}}{\text{total time}}$ = $\frac{320+144}{4+1}$ = $\frac{464}{5}$ = 92.8 km/hr Hence, the correct answer is 92.8 km/hr.
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Question : In covering a distance of 50 km, Somya takes 1 hour more than Sunny. If Somya doubles his speed, then he would take 1 hour less than Sunny. Somya's speed is:
Option 1: 18.4 km/hr
Option 2: 12.5 km/hr
Option 3: 14.8 km/hr
Option 4: 15.6 km/hr
Question : A man goes from A to B at a speed of 200 km/hr and comes back to A at a speed of 300 km/hr. Find his average speed for the entire journey.
Option 1: 264 km/hr
Option 2: 345 km/hr
Option 3: 340 km/hr
Option 4: 240 km/hr
Question : Sohan makes four journeys of equal distance. In the first journey, his speed was 240 km/hr and in each subsequent journey his speed was half the speed of the previous journey. What is the average speed of Sohan in these four journeys?
Option 1: 50 km/hr
Option 2: 64 km/hr
Option 3: 60 km/hr
Option 4: 52 km/hr
Question : A car travels at the speed of 40 km/hr for the first hour and 60 km/hr for the next hour. What will be the average speed of the car?
Option 1: 60 km/hr
Option 2: 40 km/hr
Option 3: 50 km/hr
Option 4: 45 km/hr
Question : A bus travels 60 km in the first hour, 40 km in the second hour and 50 km in the third hour. What is the average speed of the bus?
Option 2: 45 km/hr
Option 4: 55 km/hr
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