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Popular Word Problems >

Reggie made a business trip of 244 miles. He averaged 48mph for the first part of the trip and 62mph for the second part. If the trip took 4.5 hours, how long did he travel at each rate?

Solution

R e gg i e ma d e a b u s in ess t r i p o f 244 mi l es . He a v er a g e d 48 m p h f or t h e f i rs t p a r t o f t h e t r i p an d 62 m p h f or t h e seco n d p a r t . I f t h e t r i p t oo k 4.5 h o u rs, h o w l o n g d i d h e t r a v e l a t e a c h r a t e ?

Solution

trip 1 time : 2.5

trip 2 time : 2

Solution steps

Translate the problem into an equation:

48 x + 62 (4.5 - x) = 244

Solve for

x, 48 x + 62 (4.5 - x) = 244 : x = \frac{5}{2}

Find time

trip 1 time : 2.5

trip 2 time : 2

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