Problem

Transportation Two trains leave the same city at the same time, one going north and the ot...

TransportationTwo trains leave the same city at the same time, one going north and the other cast. The east- bound train travels 20 mph faster than the northbound one. After 5 hours, the trains are 300 miles apart. Determine the speed of each train, using the following steps.

(a) Let x denote the speed of the northbound train. Express the speed of the eastbound train in terms of x.


(b) Write expressions that give the distance traveled by each train after 5 hours.


(c) Use part (b) and the fact that the trains are 300 miles apart after 5 hours to write an equation. (A diagram of the situation may help.)


(d) Solve the equation and determine the speeds of the trains.

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