It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour.
Which equation can be used to find t, the amount of time Amir spent hiking during the second, more difficult part of the hike?
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3(2 - t) + 1.5t = 5 is the equation to find t, the amount of time Amir spent hiking during the second, more difficult part of the hike
Step-by-step explanation:
Let say time spent during Difficult part of hiking = t hrs
Total Time = 2hrs
time spent on 1st part of hike = 2 - t hrs
Distance = Speed * Time
3(2 - t) + 1.5t = 5
6 - 3t + 1.5t = 5
=> 1.5t = 1
=> t = 1/1.5 hrs
=> t = 60/1.5 = 40 minutes
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