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The distance from Mumbai to Pune is 192 km.An express train takes 2 hours less than a passenger train to reach a destination.Average speed of the Express

train is 16km/h more than the average speed of the passenger train.Find the average speed of both the trains.

Let the average speed of the passenger train be x. speed =distance/time time=distance/speed distance=192km. time=192/x [for passenger train]. time=192/x+16 [for express train] 192/x-192/x+16=2 192x-192x +3072=2[x²+16x] 3072/2=x²+16x 1536=x²+16x x²+16x-1536=0 [x-48] [x+32]=0 Therefore, x=48,-32. Speed cannot be negative. Therefore, the average speed of the passenger train is 48km/h, the average speed of the express train is x+16=48+16=64km/h.

Let speed of passenger train be x therefore 192/x-192/x+16=2 by solving this we get +15x-1536=0 (x-32)(x+48)=0 x=32,-48 since speed cant be negative ,speed of passenger train is 32 km/h and speed of express is 48 km/h