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Popular Word Problems >

a train travels 220 miles in 4 hours at a constant sped at this rate how far does the train travel in 3 hours is it proportional

Solution

a t r ain t r a v e l s 220 mi l es in 4 h o u rs a t a co n s t an t s p e d a t t hi s r a t e h o w f a r d oes t h e t r ain t r a v e l in 3 h o u rs i s i t p ro p or t i o na l

Solution

trip 2 distance : 165

Solution steps

Given Time:

trip 1 : 4

trip 2 : 3

Given Distance:

trip 1 : 220

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 4 Distance 220

Write an equation for trip 1Distance = Speed

\cdot

Time

220 = x \cdot 4

Solve for

x, 220 = x \cdot 4 : x = 55

speed : 55

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed 55 Time 3 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = 55 \cdot 3

Solve for

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

trip 2 distance : 165

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