Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min running at a speed of 16.5 kmph the man will cover the same distance in.

40 min

Speed = \(\frac{ Distance}{ Time}\)

Distance = Speed x Time

Distance = 4 x 2 \(\frac{45 }{ 60}\)

Distance = 4 x 2 \(\frac{3 }{ 4}\) = 4 x \(\frac{11 }{ 4}\)

Distance = 11 km

Time taken to cover the distance with speed of 16.5 km/hr

Time =  \(\frac{ Distance}{Speed}\)

Time = \(\frac{ 11}{16.5}\)

Time = \(\frac{ 110}{165}\)

Time = \(\frac{ 2}{3}\) hour

Time = \(\frac{ 2}{3}\) x 60

Time = 40 minutes