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Popular Word Problems >

A car travels 258 miles in 312 minutes at a constant speed. How far did the car travel in 5 minutes?

Solution

A c a r t r a v e l s 258 mi l es in 312 min u t es a t a co n s t an t s p ee d . Ho w f a r d i d t h e c a r t r a v e l in 5 min u t es ?

Solution

trip 2 distance : 4 \frac{7}{52}

Solution steps

Given Time:

trip 1 : 312

trip 2 : 5

Given Distance:

trip 1 : 258

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 312 Distance 258

Write an equation for trip 1Distance = Speed

\cdot

Time

258 = x \cdot 312

Solve for

x, 258 = x \cdot 312 : x = \frac{43}{52}

speed : \frac{43}{52}

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed \frac{43}{52} Time 5 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = \frac{43}{52} \cdot 5

Solve for

y, y = \frac{43}{52} \cdot 5 : y = \frac{215}{52}

Convert improper fractions to mixed numbers:

\frac{215}{52} = 4 \frac{7}{52}

trip 2 distance : 4 \frac{7}{52}

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