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?
Answer & explanation
Correct answer: option 2
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