If Raman drives his bike at a speed of 24 km/h, he reaches his office 5 minutes late. If he drives at a speed of 30 km/h, he reaches his office 4 minutes early. How much time (in minutes) will he take to reach his office at a speed of 27 km/h?

40

Let total distance = D km

According to question ,

\(\frac{D}{24}\) - \(\frac{D}{30}\) = 9 minutes

9 minutes = \(\frac{3}{20}\) hour

\(\frac{D}{24}\) - \(\frac{D}{30}\) = \(\frac{3}{20}\)

\(\frac{5D-4D}{120}\) = \(\frac{3}{20}\)

D = 18 km

If he travels at a speed of 27 km/h .

Time taken = \(\frac{18}{27}\) = \(\frac{2}{3}\) hours

\(\frac{2}{3}\) hours = 40 minutes