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Popular Word Problems >

The Vasquez family drove 165 miles in 3 hours. At this same rate, how many miles could they travel in 8 hours

Solution

T h e Va s q u ez f ami l y d ro v e 165 mi l es in 3 h o u rs . A t t hi s s am e r a t e, h o w man y mi l es co u l d t h ey t r a v e l in 8 h o u rs

Solution

trip 2 distance : 440

Solution steps

Given Time:

trip 1 : 3

trip 2 : 8

Given Distance:

trip 1 : 165

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 3 Distance 165

Write an equation for trip 1Distance = Speed

\cdot

Time

165 = x \cdot 3

Solve for

x, 165 = x \cdot 3 : x = 55

speed : 55

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed 55 Time 8 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = 55 \cdot 8

Solve for

y, y = 55 \cdot 8 : y = 440

trip 2 distance : 440

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