When truckers are on long-haul drives, their driving logs must reflect their average speed. average speed is the total distance driven divided by the total time spent driving. a trucker drove 3 hours on a freeway at 60 miles per hour and then drove 20 miles in the city. the trucker’s average speed was 57.14 miles per hour. a. write an equation that models the situation. b. how long was the trucker driving in the city to the nearest hundredth of an hour?

0.500 hour

Step-by-step explanation:

Givens

Distance

Total Distance on the highway = 3hr * 60 miles / hr = 180 milesDistance in the city = 20 milesTotal Distance = 180 + 20 = 200 miles

Time

Time on the highway = 3 hoursTime in the city = x

Formula

d /t = r

Solution

Average rate = 57.14Total Distance / Total Time = average rate200 / (3 + x) = 57.14                               Multiply both sides by 3 + x200 = 57.14 * (3 + x)                               Remove the brackets200 = 57.14*3 + 57.14x                           Multiply the factors on the right200 = 171.42 + 57.14x                              Subtract 171.42 from both sides.200 - 171.42 = 171.42 - 171.42 + 57.14x   So the subtraction28.58 = 57.14x                                         Divide by 57.1428.57/57.14 = xx = 0.500 hour                                        Answer