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Popular Word Problems >

It takes Carlos 45 minutes to drive his Corvette 60 miles. At this rate, how long will it take him to ride 8 miles

Solution

I t t ak es C a r l os 45 min u t es t o d r i v e hi s C or v e tt e 60 mi l es . A t t hi s r a t e, h o w l o n g w i ll i t t ak e him t o r i d e 8 mi l es

Solution

riding time : 6

Solution steps

Given Time:

drive : 45

Given Distance:

drive : 60

ride : 8

Represent the speed in terms of

x :

drive : x

drive Speed x Time 45 Distance 60

Write an equation for driveDistance = Speed

\cdot

Time

60 = x \cdot 45

Solve for

x, 60 = x \cdot 45 : x = \frac{4}{3}

speed : \frac{4}{3}

Represent the time in terms of

y :

ride : y

ride Speed \frac{4}{3} Time y Distance 8

Write an equation for rideDistance = Speed

\cdot

Time

8 = \frac{4}{3} y

Solve for

y, 8 = \frac{4}{3} \cdot y : y = 6

riding time : 6

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