A man travels 400km, partly by rail and partly by steamer. He spends 9 hours more time on steamer. If the velocity of the steamer is 30km/hr and the velocity of rail is 70km/hr, how much distance does he cover by steamer?

Let the time spent traveling by rail be t hours.
Since he spends 9 hours more on the steamer, the time spent traveling by steamer is (t+9) hours.

We are given:

Velocity of rail = 70km/hr

Velocity of steamer = 30km/hr

Total distance = 400km

Using the formula Distance=Speed×Time:

Distance by rail=70×t
Distance by steamer=30×(t+9)
The total distance is the sum of both distances:

70t+30(t+9)=400
70t+30t+270=400
100t=400−270
100t=130
t=1.3hours
Now, find the distance covered by the steamer:

Distance by steamer=30×(t+9)=30×(1.3+9)=30×10.3=309km