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Popular Word Problems >

Deb can run 5 kilometers in 20 minutes. If she runs at the same speed, how long would it take Deb to run 3 kilometers?

Solution

De b c an r u n 5 ki l o m e t ers in 20 min u t es . I f s h e r u n s a t t h e s am e s p ee d, h o w l o n g w o u l d i t t ak e De b t o r u n 3 ki l o m e t ers ?

Solution

trip 2 time : 12

Solution steps

Given Time:

trip 1 : 20

Given Distance:

trip 1 : 5

trip 2 : 3

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 20 Distance 5

Write an equation for trip 1Distance = Speed

\cdot

Time

5 = x \cdot 20

Solve for

x, 5 = x \cdot 20 : x = \frac{1}{4}

speed : \frac{1}{4}

Represent the time in terms of

y :

trip 2 : y

trip 2 Speed \frac{1}{4} Time y Distance 3

Write an equation for trip 2Distance = Speed

\cdot

Time

3 = \frac{1}{4} y

Solve for

y, 3 = \frac{1}{4} \cdot y : y = 12

trip 2 time : 12

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