The distance between Mumbai and Pune is 192 km. Travelling by the Deccan Queen, it takes 48 minutes less than another train. Calculate the speed of the Deccan Queen if the speeds of the two trains differ by 20 kmph.

Answer

80 km/hr

Explanation

Let the speed of the Deccan queen be x km/hr. Then,
`(192)/((x-20))-(192)/(x)=(48)/(60)implies(1)/(x-20)-(1)/(x)=(1)/(240).`
`impliesx^(2)-20x-4800=0impliesx^(2)-80x+60x-4800=0.`