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In 24 minutes, Daniel can run 3 miles. At this rate, how many minutes will it take Daniel to run 26.2 miles?

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Solution

In24minutes,Danielcanrun3miles.Atthisrate,howmanyminuteswillittakeDanieltorun26.2miles?

Solution

trip2time:209.6
Solution steps
Given Time:trip1:24
Given Distance:
trip1:3
trip2:26.2
Represent the speed in terms of x:trip1:x
trip1​Speedx​Time24​Distance3​​
Write an equation for trip 1Distance = Speed ⋅ Time3=x⋅24
Solve for x,3=x⋅24:x=81​
speed:81​
Represent the time in terms of y:trip2:y
trip2​Speed81​​Timey​Distance26.2​​
Write an equation for trip 2Distance = Speed ⋅ Time26.2=81​y
Solve for y,26.2=81​⋅y:y=209.6
trip2time:209.6

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