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You decide to travel by car for your holiday visits this year. You leave early in the morning to avoid congestion on the roads. This enables you to drive at a comfortable speed of ????1=67.1 mphv1=67.1 mph for ????1=1.70t1=1.70 hours. However, after this time, you unexpectedly come to a stop for ????stop=20.0 min.tstop=20.0 min. Traffic starts moving again and you finish your travel at ????2=55.8 mphv2=55.8 mph for an additional ????2=1.70t2=1.70 hours. There are 16091609 meters in one mile. What was the total distance ????d traveled?

Respuesta :

mateoe1

Answer:

d=336.16km=208.92mi

Explanation:

First write the data in the international system:

[tex]v_1=67.1mph*\frac{1609m}{1mile}*\frac{1km}{1000m} = 107.96kmph[/tex]

similarly:

[tex]v_2=67.1mph*\frac{1609m}{1mile}*\frac{1km}{1000m} = 89.78kmph[/tex]

Then, just calculate distance using the equation for linear motion:

[tex]v=\frac{d}{t}\\ d=v*t\\d_1=107.96*1.7=183.53km\\d_2=89.78*1.7=152.6km\\d_T=d_1+d_2\\d_T=336.16km[/tex]

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