Question

The distance between the two stations A and B is 250 km.Two train start simultaneously from A and B in opposite directions. The distance between them after 150 mins is 25 km. If the speed of one train is 10 km/hr.more than the other. Find the speed of the trains.

Answer 1

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Secondary SchoolMath5 points

The distance between two stations A and B is 250km.Two train started simultaneously from AandB in opposite directions. The distance between them after 2-1/2hours is 25 km. I If the speed of one train is 10 km/hour.more than the other. I Find the speed of each of the train s

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lilyrose Ace

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