Two trains for mumbai leave delhi at 6: 00
a.M. And 6: 45
a.M. And travel at 100 kmph and 136 kmph respectively. How many kilometres from delhi will the two trains be together
Answers
Answered by
79
The slower train travels 45 minutes or 3/4 earlier. Distance travelled in 3/4 hr @ 100 km/hr = 100 × 3/4 = 75 km.
Now let the distance travelled by slower train be x km when the two trains meet.
So time taken by slower train to travel dist, x = x / 100 hr.
The fast train travels a distance of ( 75 + x) km.
Time required to travel this distance = (75 + x) / 136
Both the times are equal.
Therefore x / 100 = (75 + x) /136 -------- solving this
136 x = 100 x + 7500
36 x = 7500
x = 7500 / 36 = 208.333
So the trains will meet at 208.333 + 75 = 283.33 km from Delhi.
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Now let the distance travelled by slower train be x km when the two trains meet.
So time taken by slower train to travel dist, x = x / 100 hr.
The fast train travels a distance of ( 75 + x) km.
Time required to travel this distance = (75 + x) / 136
Both the times are equal.
Therefore x / 100 = (75 + x) /136 -------- solving this
136 x = 100 x + 7500
36 x = 7500
x = 7500 / 36 = 208.333
So the trains will meet at 208.333 + 75 = 283.33 km from Delhi.
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Answered by
1
Answer:
283.33KM
Explanation:
The train that leaves at 6 am would be 75 km ahead of
the other train when it starts. Also, the relative speed
being 36 kmph, the distance from Mumbai would be:
(75/36) x 136 = 283.33 km
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