Mohan travels three equal distances at speeds of 12 km/h, 18 km/h and 24 km/h. If he takes a total of 13 hours, then what is the total distance covered?

216 km

Let equal distance = x

ATQ ,

Time = \(\frac{Distance }{Speed}\)

\(\frac{x }{12}\) + \(\frac{x }{18}\) + \(\frac{x }{24}\) = 13

\(\frac{6x + 4x + 3x }{72}\)= 13

13x = 936

x = \(\frac{936 }{13}\) 

= 72 km

Total distance = 3x = 3 × 72 = 216 km