if certain motorist drives 25 miles at 20 miles per gallon and 60 miles at 12 miles per gallon,find the average number of miles per gallon?
Answers
Answer:
13.6
Step-by-step explanation:
if certain motorist drives 25 miles at 20 miles per gallon and 60 miles at 12 miles per gallon,find the average number of miles per gallon?
25 miles at 20 miles/gallon
=> 25 miles in 25/20 = 1.25 gallon
60 miles at 12 miles per gallon
=> 60 miles in 60/12 = 5 gallon
total miles = 25 + 60 = 85 miles
Total Gallon = 1.25 + 5 = 6.25 gallon
Average miles per gallon = 85/ 6.25 = 13.6
answer : 13.6miles per gallon
A certain motorist drives 25 miles at 20 miles per gallon.
so, number of gallons of petrol is used for 25 miles = 25 miles/(20 miles per gallon)
= 25/20 = 1.25 gallons.
again, motorist drives 60 miles at 12 miles per gallon.
so, number of gallons of petrol is used for 60 miles = 60miles/(12 miles per gallon)
= 60/12 = 5 gallons.
so, total number of gallons of petrol is used = 1.25 gallons + 5 gallons = 6.25 gallons.
and total distance covered by motorist = 25 miles + 60 miles = 85 miles
now, average number of miles per gallon = (total distance covered by motorist)/(total number of gallons of petrol is used)
= (85 miles)/(6.25 gallons )
= 13.6 miles per gallon