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Rick ran for 3/4 hour on Wednesday for a distance of 4.2 miles. On Thursday, he ran for 1 hour at the same speed he ran on Wednesday. How many miles did Rick run on Thursday?

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Solution

Rickranfor43​houronWednesdayforadistanceof4.2miles.OnThursday,heranfor1houratthesamespeedheranonWednesday.HowmanymilesdidRickrunonThursday?

Solution

trip2distance:5.6
Solution steps
Given Time:
trip1:43​
trip2:1
Given Distance:trip1:4.2
Represent the speed in terms of x:trip1:x
trip1​Speedx​Time43​​Distance4.2​​
Write an equation for trip 1Distance = Speed ⋅ Time4.2=x43​
Solve for x,4.2=x⋅43​:x=5.6
speed:5.6
Represent the distance in terms of y:trip2:y
trip2​Speed5.6​Time1​Distancey​​
Write an equation for trip 2Distance = Speed ⋅ Timey=5.6⋅1
Solve for y,y=5.6⋅1:y=5.6
trip2distance:5.6

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