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Popular Word Problems >

One is traveling 26 miles per hour. The second one, trailing 30 miles behind, is traveling 56 miles per hour. How long will it be before the second bus catches up to the first?

Solution

O n e i s t r a v e l in g 26 mi l es p er h o u r . T h e seco n d o n e, t r ai l in g 30 mi l es b e hin d, i s t r a v e l in g 56 mi l es p er h o u r . Ho w l o n g w i ll i t b e b e f ore t h e seco n d b u s c a t c h es u p t o t h e f i rs t ?

Solution

time : \frac{15}{41}

Solution steps

Translate the problem into an equation:

26 x + 56 x = 30

Solve for

x, 26 x + 56 x = 30 : x = \frac{15}{41}

time : \frac{15}{41}

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