Question

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

Answer 1

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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Answer 2

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