The distance between two stations A and B is 250 km. Two trains start simultancously from A and B in opposite directions. The distance between them after 2 hours is 25 km. If the speed of one train is 10 km/hr. more than the other. Find the speed of each of the trains.
Answers
Answer:
The distance between the stations is 250km and after 2.5 hours the trains are 25km apart.
The total distance that the trains have traveled is 250km - 25km or 225km.
Let X be the speed of the slower train in km/hr
225km=2.5X+2.5{X+10}
Simplify the equation
225=2.5X+2.5X+25
Combine like terms
225=5X+25
Subtract 25 from both sides
200=5X
Divide both sides by 5
40=X
The slower train is moving at 40km/hr.
That means that the faster train is moving at 50km/hr
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Step-by-step explanation:
The distance between the stations is 250km and after 2.5 hours the trains are 25km apart.
The total distance that the trains have traveled is 250km - 25km or 225km.
Let X be the speed of the slower train in km/hr
225km+=+2.5X+%2B+2.5%2A%28X%2B10%29
Simplify the equation
225+=+2.5X+%2B+2.5X+%2B+25
Combine like terms
225+=+5X+%2B+25
Subtract 25 from both sides
200+=+5X
Divide both sides by 5
highlight%2840+=+X%29
The slower train is moving at 40km/hr.
That means that the faster train is moving at 50km/hr