A and B travel the same distance at speeds of 8 km h and 12 km h respectively If B takes 30 minutes ...........

Quantitative Aptitude (MTS) Time & distance

A and B travel the same distance at speeds of 8 km/h and 12 km/h, respectively. If B takes 30 minutes less than that taken by A.

what is the distance (in km) travelled by each one of them?

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SSC MTS 22nd October 2021 Shift-1

- Let the distance be 'd' km.

- Time taken by A = \( \frac{d}{8} \) hours.

- Time taken by B = \( \frac{d}{12} \) hours.

- Given: B takes 30 minutes (or 0.5 hours) less than A.

- Equation:

\( \frac{d}{8} - \frac{d}{12} = 0.5 \)

- Solving the equation:

Multiply by 24 to clear fractions: \( 3d - 2d = 12 \)

So, \( d = 12 \).

- Distance is 12 km.

- Option 1 is correct.

- Reasons for incorrect options:

- 10 km: Results in wrong time difference.

- 15 km: Yields a larger time difference.

- 8 km: Results in smaller time difference.

Answer: Option 1 - 12

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