Question

(60) 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 km/hr.
​

Answer 1

d=192km

Let speed of train=V km/h

Speed of deccan queen=(V+20)km/h

dt=V

dV=t

192V=t−(1)

192V+20=(t−4860)−(2)

192V+20=191V−45

45=192V−192V+20

45=192[1V−1V+20]

45=192[V+20−VV(V+20)]

V(V+20)=25⋅192

V2+20V−4800  

V2+80V−60V−4800=0

V(V+80)−60(V+80)=0

(V−60)(V+80)=0

V=60,−80

V=60km∣h

Speed of deccan queen=(V+20)kmh

=(60+20)=80km/h.

Hope it helps!!

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