out of 900km distance vasantrao travelled some distance by bus at the speed of 60km/hr and the remaining by railway at the speed of 90km/hr . totally he travelled for 13 hours. find the distance travelled by bus
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The distance travelled by bus is 54 km.
Total distance = 900km (Given)
Speed of the bus = 60 km/h (Given)
Speed of the train = 90km/h (Given)
Let the distance travelled by bus be = x km.
Thus, the distance travelled by rail be = (900−x)
Time taken by the bus = x/60
Time taken by train = 900 - x/90
Total time = x/60 + 900 - x/90
13 = x/60 + 900 - x/90
13 = 30x + 1800 + 20x/180
2340 = 1800 + 10x
- 10x = 1800 - 2340
- 10x = -540
x = 54
Thus, the distance travelled by bus is 54 km.
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