SOLUTION: Two airplanes leave Toronto at the same time, one travelling west and the other east. Their average speeds differ by 5km/h. After 1 3/4 hours they were 980 km apart. Find the speed

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Question 169028: Two airplanes leave Toronto at the same time, one travelling west and the other east. Their average speeds differ by 5km/h. After 1 3/4 hours they were 980 km apart. Find the speed of each plane.
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Two airplanes leave Toronto at the same time, one travelling west and the other east. Their average speeds differ by 5km/h. After 1 3/4 hours they were 980 km apart. Find the speed of each plane.
.
Let x = speed of one plane
then
x+5 = speed of other plane
.
1 3/4 = 1.75 hours
.
1.75x + 1.75(x+5) = 980
1.75x + 1.75x + 8.75 = 980
1.75x + 1.75x = 971.25
35x = 971.25
x = 277.5 km/hr
.
solution:
277.5 and 282.5 km/hr

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