Aman goes from A to B at a speed of 40 km h Using the same route he comes back from B to A at a spee...........

Quantitative Aptitude (MTS) Time & distance

Aman goes from A to B at a speed of 40 km/h. Using the same route, he comes back from B to A, at a speed of 55 km/h. What is

his approximate average speed for the whole journey?

This questions was previously asked in

SSC MTS 25th July 2022 Shift-3

47.5 km/h

48.11 km/h

46.32 km/h

46.24 km/h

To find the average speed for the entire journey, consider the following:

- The formula to calculate average speed when distances are equal but speeds differ is:

$$\text{Average speed} = \frac{2 \times v_1 \times v_2}{v_1 + v_2}$$

- Here, $v_1 = 40 \, \text{km/h}$ and $v_2 = 55 \, \text{km/h}$.

- Substitute the values into the formula:

$$\text{Average speed} = \frac{2 \times 40 \times 55}{40 + 55} = \frac{4400}{95} \approx 46.32 \, \text{km/h}$$

- Option 3, 46.32 km/h, is correct.

- Thus, the correct average speed aligns with Option 3.

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