Question

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?

Answer 1

d=336.16km=208.92mi

Step-by-step explanation:

First write the data in the international system:

`v_1=67.1mph*(1609m)/(1mile)*(1km)/(1000m) = 107.96kmph`

similarly:

`v_2=67.1mph*(1609m)/(1mile)*(1km)/(1000m) = 89.78kmph`

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

`v=(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`