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Popular Word Problems >

For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 220 miles in 4 hours, how many miles does it travel in 3 hours?

Solution

F or a c a r m o v in g a t a co n s t an t s p ee d, t h e d i s t an ce t r a v e l e d v a r i es d i rec tl y w i t h t h e t im e s p e n t d r i v in g . I f s u c h a c a r t r a v e l s 220 mi l es in 4 h o u rs, h o w man y mi l es d oes i t t r a v e l in 3 h o u rs ?

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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