Kenneth drove 194.3 miles in 3 7/20 hours. What was his average speed?

Question

Autumn Arnold · Accepted Answer

58 miles per hour

In this case average means; what is the one value that if multiplied by the total time (in hours) will give 194.3 miles. We do this by ending up with the distance traveled in 1 hour (unit time) Using ratio #color(brown)(->" miles per hour "-> ("miles")/("hours") ->m/h -> 194.3/(3 7/20))# So we need to change the #3 7/20# into 1 Divide top and bottom by #3 7/20# #m/h-=(194.3-: 3 7/20)/(3 7/20-: 3 7/20)# #m/h = (194-:3 7/20)/1# #m/h = 58/1# So the average speed is 58 miles in 1 hour #->#58 miles per hour

Luna Angel · Answer

#58 mph# 194.3miles in #3 7/20#hours = 194.3 miles in# 67/20=3.35 hours# #3.35hours=194.3#miles #1 hour=1/3.35 xx 194.3/1=58mph# check: #58mph xx 3.35hours=194.3#miles

Julian Avila · Answer

undefined To find Kenneth's average speed, divide the total distance traveled by the total time taken:

Average speed = Total distance / Total time

Total distance = 194.3 miles
Total time = 3 7/20 hours

Convert the mixed number time to an improper fraction:
3 7/20 hours = (3 * 20 + 7)/20 = (60 + 7)/20 = 67/20 hours

Average speed = 194.3 miles / (67/20) hours

Divide the total distance by the total time:
Average speed = 194.3 miles / (67/20) hours

To divide by a fraction, multiply by its reciprocal:
Average speed = 194.3 miles * (20/67) hours

Calculate the result:
Average speed ≈ 57.94 miles/hour