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Popular Word Problems >

A plane can fly 1120 miles in the same time as it takes a car to go 420 miles. If the car travels 100 mph slower than the plane, find the speed of the plane.

Solution

A pl an e c an f l y 1120 mi l es in t h e s am e t im e a s i t t ak es a c a r t o g o 420 mi l es . I f t h e c a r t r a v e l s 100 m p h s l o w er t han t h e pl an e, f in d t h e s p ee d o f t h e pl an e .

Solution

plan e^{'} s speed : 160

Solution steps

Translate the problem into an equation:

\frac{1120}{x} = \frac{420}{x - 100}

Solve for

x, \frac{1120}{x} = \frac{420}{x - 100} : x = 160

plan e^{'} s speed : 160

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