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Popular Word Problems >

Boris runs 10 miles in 75 minutes. At the same rate how many miles would he run in 69 minutes?

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Solution

Borisruns10milesin75minutes.Atthesameratehowmanymileswouldherunin69minutes?

Solution

trip2distance:9.2
Solution steps
Given Time:
trip1:75
trip2:69
Given Distance:trip1:10
Represent the speed in terms of x:trip1:x
trip1​Speedx​Time75​Distance10​​
Write an equation for trip 1Distance = Speed ⋅ Time10=x⋅75
Solve for x,10=x⋅75:x=152​
speed:152​
Represent the distance in terms of y:trip2:y
trip2​Speed152​​Time69​Distancey​​
Write an equation for trip 2Distance = Speed ⋅ Timey=152​⋅69
Solve for y,y=152​⋅69:y=546​
546​=9.2
trip2distance:9.2

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