A person travels from X to Y at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips?
- A36 kmph
- B45 kmph
- C48 kmphCorrect
- D50 kmph
Explanation
To find the average speed for the entire journey, follow these steps:
-
Identify the speeds: The speed from X to Y is 40 kmph. The return speed is increased by 50 percent. 50 percent of 40 is 20, so the return speed is 40 plus 20, which equals 60 kmph.
-
Use the average speed formula: When the distance for both trips is the same, the average speed is calculated using the harmonic mean formula: 2 times speed one times speed two divided by the sum of the speeds.
-
Calculate the value: Average speed equals 2 times 40 times 60 divided by 40 plus 60. This equals 4800 divided by 100. The result is 48 kmph.
Therefore, option C is the correct answer.

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