Question

I need it done du the end of the day

Please please

Answer 1

1). Options (B) and (E)

2). First train is going faster than the second train.

Explanation:

1). Rate of 2 gallons of vinegar = $3

Therefore, per gallon rate of vinegar =
`(3)/(2)` = $1.5

In $3 quantity of vinegar chef will get = 2 gallons

Therefore, quantity of vinegar chef will get in $1 =
`(2)/(3)` 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 =
`(2)/(3)* 2=(4)/(3)` gallons

False

Option (E)

Number of gallons of vinegar chef gets in $1 =
`(2)/(3)`

True

Therefore, Options (B) and (E) are the correct.

2). Speed =
`\frac{\text{Distance}}{\text{Time}}`

For first train,

Speed =
`(30)/((1)/(3))`

= 90 miles per hour

For second train,

Speed =
`(20)/((1)/(2))`

= 40 miles per hour

Since, 90 miles per hour > 40 miles per hour

First train is going faster than the second train.