Aashutosh can cover a certain distance in 84 min by covering 2 / 3 rd of distance at 4 Km/hr and the test at 5 Km/hr. Find the total distance

Let the total distance is x.

Then, according to the question,
\(\Large \frac{\frac{2}{3}X}{4} + \frac{\left(1-\frac{2}{3}\right)X}{5} = \frac{84}{60}\)

= > \( \Large \frac{\frac{2}{3}X}{4} + \frac{\frac{1}{3}X}{5} = \frac{84}{60}\)

= > \( \Large \frac{x}{6} + \frac{x}{15} = \frac{84}{60}\)

= > 5x + 2x = 42

= > x = 42 / 7

= 6 km