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Popular Word Problems >

Two men who are traveling in opposite directions at the rate of 45 and 55 mph respectively started at the same time at the same place. In how many hours will they be 280 apart?

Solution

Tw o m e n w h o a re t r a v e l in g in o pp os i t e d i rec t i o n s a t t h e r a t e o f 45 an d 55 m p h res p ec t i v e l y s t a r t e d a t t h e s am e t im e a t t h e s am e pl a ce . I n h o w man y h o u rs w i ll t h ey b e 280 a p a r t ?

Solution

time : 2 \frac{4}{5}

Solution steps

Translate the problem into an equation:

45 x + 55 x = 280

Solve for

x, 45 x + 55 x = 280 : x = \frac{14}{5}

Convert improper fractions to mixed numbers

time : 2 \frac{4}{5}

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