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A plane can fly 1190 miles in the same time as it takes a car to go 280 miles.
If the car travels 130 mph slower than the plane, find the speed of the plane.
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Let x be the speed of the plane, in miles per hour.
Then the speed of the car is (x-130) mph, according to the condition.
Next, you write the "time" equation, following the problem's description
= .
To solve it, cross multiply and simplify
1190*(x-130) = 280x
17*(x-130) = 4x <<<---=== after dividing both sides by 70
17x - 17*130 = 4x
17x - 4x = 17*130
13x = 17*130
x = 17*10 = 170.
ANSWER. The plane speed is 170 miles per hour.
CHECK. The plane time is = 7 hours.
The car time is = = 7 hours. ! The same time. Correct !
Solved.