If a man drives at 83 kmph instead of 79 kmph, he had travelled 124 kms more. Find the distance travelled by him when he travels at 83 kmph. (in km)

Given:

If a man drives at 83 kmph instead of 79 kmph, he had travelled 124 kms more.

Formula used:

Let the distance travelled at 83 kmph be D (in km).

Time taken at 83 kmph = Time taken at 79 kmph

⇒ \(\frac{D}{83} = \frac{D - 124}{79}\)

Calculations:

\(\frac{D}{83} = \frac{D - 124}{79}\)

⇒ \(\frac{D}{83} - \frac{D}{79} = -\frac{124}{79}\)

⇒ \(\frac{79D - 83D}{83 \times 79} = -\frac{124}{79}\)

⇒ \(\frac{-4D}{83 \times 79} = -\frac{124}{79}\)

⇒ \(\frac{4D}{83 \times 79} = \frac{124}{79}\)

⇒ \(\frac{4D}{83} = 124\)

⇒ \(\frac{D}{83} = 31\)

⇒ D = 83 × 31 = 2573

The correct answer is option (3).