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Popular Word Problems >

Kira went for a drive in her new car. She drove for 37.5 miles at a speed of 30 mph, and 10 miles at a speed of 40 mph. For how many hours did she drive?

Solution

K i r a w e n t f or a d r i v e in h er n e w c a r . S h e d ro v e f or 37.5 mi l es a t a s p ee d o f 30 m p h, an d 10 mi l es a t a s p ee d o f 40 m p h . F or h o w man y h o u rs d i d s h e d r i v e ?

Solution

trip 1 time : 1.25

trip 2 time : 0.25

Solution steps

Given Speed:

trip 1 : 30

trip 2 : 40

Given Distance:

trip 1 : 37.5

trip 2 : 10

Represent the time in terms of

x :

trip 1 : x

trip 1 Speed 30 Time x Distance 37.5

Write an equation for trip 1Distance = Speed

\cdot

Time

37.5 = 30 x

Solve for

x, 37.5 = 30 \cdot x : x = 1.25

time : 1.25

Represent the time in terms of

y :

trip 2 : y

trip 2 Speed 40 Time y Distance 10

Write an equation for trip 2Distance = Speed

\cdot

Time

10 = 40 y

Solve for

y, 10 = 40 \cdot y : y = \frac{1}{4}

\frac{1}{4} = 0.25

trip 1 time : 1.25

trip 2 time : 0.25

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