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On a journey across Kolkata, a taxi averages 50 km per hour for 50% of the distance. 40 km per hour for 40% of it and 20 km per hour for the remaining. The average speed in km/ hour, for the whole journey is:
  • a)
    42
  • b)
    40
  • c)
    35
  • d)
    45
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
On a journey across Kolkata, a taxi averages 50 km per hour for 50% of...
Total distance = 100 km
Total time 
∴ Average Speed 
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Most Upvoted Answer
On a journey across Kolkata, a taxi averages 50 km per hour for 50% of...
Solution:

Given, the distances travelled at different speeds are:

- 50 km/hour for 50% of the distance
- 40 km/hour for 40% of the distance
- 20 km/hour for the remaining 10% of the distance

We need to find the average speed of the whole journey.

Let us assume that the total distance travelled is 100 km.

Distance travelled at 50 km/hour = 50% of 100 km = 50 km
Distance travelled at 40 km/hour = 40% of 100 km = 40 km
Distance travelled at 20 km/hour = 10% of 100 km = 10 km

Total time taken = (Distance travelled at 50 km/hour) / (Speed at 50 km/hour) + (Distance travelled at 40 km/hour) / (Speed at 40 km/hour) + (Distance travelled at 20 km/hour) / (Speed at 20 km/hour)

= (50 / 50) + (40 / 40) + (10 / 20)

= 1 + 1 + 0.5

= 2.5 hours

Average speed = Total distance travelled / Total time taken

= 100 km / 2.5 hours

= 40 km/hour

Therefore, the average speed of the whole journey is 40 km/hour.

Hence, the correct option is (b) 40.
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On a journey across Kolkata, a taxi averages 50 km per hour for 50% of the distance. 40 km per hour for 40% of it and 20 km per hour for the remaining. The average speed in km/ hour, for the whole journey is:a)42b)40c)35d)45Correct answer is option 'B'. Can you explain this answer?
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