The distance Elizabeth travels on her bicycle caries directly the amount of time she rides. Elizabeth can travel 15 miles in 2.5 hours on her bicycle. How far would Elizabeth travel of she rides her bicycle for 4 hours?

Solution

T h e d i s t an ce El i z ab e t h t r a v e l s o n h er bi cyc l e c a r i es d i rec tl y t h e am o u n t o f t im e s h e r i d es . El i z ab e t h c an t r a v e l 15 mi l es in 2.5 h o u rs o n h er bi cyc l e . Ho w f a r w o u l d El i z ab e t h t r a v e l o f s h e r i d es h er bi cyc l e f or 4 h o u rs ?

trip 2 distance : 24

Solution steps

Given Time:

trip 1 : 2.5

trip 2 : 4

Given Distance:

trip 1 : 15

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 2.5 Distance 15

Write an equation for trip 1Distance = Speed

\cdot

Time

15 = x \cdot 2.5

Solve for

x, 15 = x \cdot 2.5 : x = 6

speed : 6

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed 6 Time 4 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = 6 \cdot 4

Solve for

y, y = 6 \cdot 4 : y = 24

trip 2 distance : 24