A man cover a distence of 285 km. in 6hr first part of journey he covered at the speed of 40 km per hr by bus secend part of the journey he covers at the speed of 55 km per hr by train what is the distance covered by train
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Let the person travels for x hours by the train.
Therefore,
Time for which he travels by bus = (6-x) hours
The distance travelled by train = 55 X x km
And,
The distance travelled by bus = (6-x) 40 km
According to the question:
40 (6-x) + 55 x = 285
40 X 6- 40x + 50x = 285
240 - 40x + 55x = 285
15x = 285 - 240
15x = 45
Therefore,
x = 3 hours
Distance travelled by train = 55 X 3 = 165 km
Therefore,
Time for which he travels by bus = (6-x) hours
The distance travelled by train = 55 X x km
And,
The distance travelled by bus = (6-x) 40 km
According to the question:
40 (6-x) + 55 x = 285
40 X 6- 40x + 50x = 285
240 - 40x + 55x = 285
15x = 285 - 240
15x = 45
Therefore,
x = 3 hours
Distance travelled by train = 55 X 3 = 165 km
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