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TRAVEL Rita traveled 1,250 miles in the first 3 days of her trip. At this rate, how long will it take her to travel 1,875 miles?

Solution

TRAVEL Rita traveled 1, 250 miles in the first 3 days of her trip. At this rate, how long will it take her to travel 1, 875 miles?

Solution

trip 2 time : 4 \frac{1}{2}

Solution steps

Given Time:

trip 1 : 3

Given Distance:

trip 1 : 1250

trip 2 : 1875

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 3 Distance 1250

Write an equation for trip 1Distance = Speed

\cdot

Time

1250 = x \cdot 3

Solve for

x, 1250 = x \cdot 3 : x = \frac{1250}{3}

speed : \frac{1250}{3}

Represent the time in terms of

y :

trip 2 : y

trip 2 Speed \frac{1250}{3} Time y Distance 1875

Write an equation for trip 2Distance = Speed

\cdot

Time

1875 = \frac{1250}{3} y

Solve for

y, 1875 = \frac{1250}{3} \cdot y : y = \frac{9}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

trip 2 time : 4 \frac{1}{2}

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