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
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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