Answer:
1). Options (B) and (E)
2). First train is going faster than the second train.
Step-by-step explanation:
1). Rate of 2 gallons of vinegar = $3
Therefore, per gallon rate of vinegar = [tex]\frac{3}{2}[/tex] = $1.5
In $3 quantity of vinegar chef will get = 2 gallons
Therefore, quantity of vinegar chef will get in $1 = [tex]\frac{2}{3}[/tex] gallons
Option (A).
Price of 4 gallons = 4 × $1.5 = $6.00
False.
Option (B)
Price of 1 gallon = $1.50
True
Option (C)
Price of 30 gallons = 30 ×$1.5 = $45
False.
Option (D)
In $2 number of gallons of vinegar chef will get = [tex]\frac{2}{3}\times 2=\frac{4}{3}[/tex] gallons
False
Option (E)
Number of gallons of vinegar chef gets in $1 = [tex]\frac{2}{3}[/tex]
True
Therefore, Options (B) and (E) are the correct.
2). Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
For first train,
Speed = [tex]\frac{30}{\frac{1}{3}}[/tex]
= 90 miles per hour
For second train,
Speed = [tex]\frac{20}{\frac{1}{2}}[/tex]
= 40 miles per hour
Since, 90 miles per hour > 40 miles per hour
First train is going faster than the second train.
