A man takes 50 minutes to cover a certain distance at a speed of 60 km/h .  If the speed is increased by 25% , then how long will he take to cover \(\frac{27}{5}\) of the same distance ?

3h 36 minutes

Distance = Speed × Time

Distance = 60 × \(\frac{50}{60}\) = 50 km

\(\frac{27}{5}\) of distance = 50 × \(\frac{27}{5}\) = 27 × 10

  Speed = 125% of 60 = 75

  Time  = \(\frac{27 \;× \;10}{75}\) = \(\frac{54}{15}\)

  = 3h 36 min.