Time & distance

Quantitative Aptitude (MTS)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

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?

This questions was previously asked in

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