station A and station B are 587 km away from each other . one train start from A to B at the same time another train start from B to A which is 18 km/h faster than first train along a parallel track . if after 3.5 hours the distance between two trains is 34 km. find the speed of the train
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Let the speed of the train moving from A be x the speed of the train moving from B will be :
(x + 18) Km/h
In 3.5 hrs the train from A and from B will have covered :
B = 3.5 × (x + 18) = 3.5x + 63
A = 3.5 x
The total distance covered will be :
587 - 34 = 553 km
3.5x + 3.5x + 63 = 553
7x = 553 - 63
7x = 490
x = 70km/h
The speed of train moving from B is :
70 + 18 = 88km/h
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A train speed=70km/h
B train speed= 88 km / h
hope it will help you
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