SOLUTION: Trains A and B leave the same city at the same time, headed west and south respectively. Train A travels 14 km/h faster than train B. After 5 hours they are 130 km apart. Find the

Question 846404: Trains A and B leave the same city at the same time, headed west and south respectively. Train A travels 14 km/h faster than train B. After 5 hours they are 130 km apart. Find the speed of each train.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The departure point of the city is at the vertex of the right angle of a triangle and the other two vertices are the location of train A and train B. This is a right triangle because WEST and SOUTH, the directions of each train.

Train B, rate is r.
Train A, rate is r+14.

Distance train A goes in 5 hours is (r+14)*5.
Distance train B goes r*5 in 5 hours.

Pythagorean Theorem for the distances, ;
Solve for r.
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