Answer: a) [tex]\frac{24}{5}t gallons[/tex] are needed to travel 8 miles
b) Town X and town Y are 15 miles apart.
Step-by-step explanation:
Given : Gasoline used to travel 5 miles = 3t gallons
a) To find: Gasoline used to travel 8 miles = ?
Using unitary method:
If Gasoline used to travel 5 miles = 3t gallons
Thus Gasoline used to travel 8 miles = [tex]\frac{3t}{5}\times 8=\frac{24}{5}t gallons[/tex]
[tex]\frac{24}{5}t gallons[/tex] are needed to travel 8 miles
b) when 3t gallons of gasoline are used , distance covered = 5 miles
Thus when 9t gallons of gasoline are used , distance covered = [tex]\frac{5}{3t}\times 9t=15 miles[/tex]
Thus town X and town Y are 15 miles apart.
