PROBLEMS ON RATES FOR SAT

Problem 1 :

A faulty register records only $5 for every $8 deposit. If the register shows a total balance of $40, what is the actual balance ?

(a)  $25    (b) $64    (c)  $80     (d)  120

Solution

Problem 2 :

During a trip, Jonathan had driven a total of 75 miles by 6:20 PM and a total of 85 miles by 6:40 PM. He drove at the same rate for the entire trip. At what time has he driven a total of 140 miles ?

(a)  7:30 PM    (b) 8:00 PM    (c)  8:30 PM     (d)  9:00 PM

Solution

Problem 3 :

A train is travelling at an average speed of 80 miles per hour takes 8 hours to complete a given trip. How much time would it take the train to complete the same trip if it traveled at an average speed of 120 miles per hour ?

(a)  4 hours    (b) 4 hours 30 minutes

(c)  5 hours 20 minutes     (d)  5 hours 30 minutes

Solution

Problem 4 :

At a certain pizza restaurant 8 ounces of cheese is enough for 2/3 of a pizza. Given that there are 16 ounces in pound, how many pizzas can be produced with 12 pounds of cheese ?

Solution

Problem 5 :

At a movie theater, an adult ticket costs $10 and a bag of popcorn costs $6. If a group of adults bought tickets to a movie and 4 bags of popcorn, what expression could be used to determine how much in total the group spent in dollars ?

(a) 10x + 6, where x is the total number of adults.

(b) 10x + 24, where x is the total number of adults.

(c)  16x, where x is the total number of adults.

(d)  6x+10, where x is the total number of popcorn purchased.

Solution

Problem 6 :

On Friday, Jaince read x pages every 30 minutes for 4 hours and Kim read y pages every 15 minutes for 5 hours. Which of the following represents the total number of pages read by Jaince and Kim on Friday ?

(a)  4x + 5y     (b)  8x + 20y    (c)  20x + 8y    (d)  120x + 75y

Solution

Problem 7 :

A salad dressing supplier ensures that there are 7.5 ounces of salad dressing in every container. How many containers would be required to hold 150 ounces of salad dressing?

Solution

Problem 8 :

A small shop can manufacture 4 windows every 5 hours. At the rate, how long will it take to manufacture 7 windows ?

(a) 8 hours                  (b)  8 hr 15 minutes

(c) 8 hr 30 minutes     (d)  8 hr 45 minutes

Solution

Problem 9 :

A car has gas mileage of 32 miles per gallon when it travels at an average speed of 65 miles per hour. If the car travels for t hours at 65 miles per hour, which of the following expressions represents the amount of gas, in gallons, the car consumed ?

(a)  32/65t       (b) 65/32t       (c)  32t/65        (d)  65t/32

Solution

Problem 10 :

A textbook company ships its books in boxes that can hold 30 pounds. One particular order calls for shipment of 800 books. If each book weights 1.4 kilograms, how many boxes will be required to fulfills this order ? (1 kilograms = 2.2 pounds)

Solution

Problem 11 :

A technology company finds that 11 out of every 600 emails sent through its servers are lost. At this rate, how many emails are lost if 42000 emails are sent through its servers ?

Solution

Problem 12 :

Kevin has collected m coins. Ellie has collected half as many as Kevin, but 5 more than Robert. In terms of m, how many coins has Robert collected ?

(a) 2m - 5     (b)  (m/2) + 5    (c)  2m + 5     (d)  (m/2) - 5

Solution

Problem 13 :

Jane receives $2.75 each month for each square foot of an apartment that she rents out. If the apartment has an area of 500 square feet, how much rent, in dollars would Jane receive from a tenant who occupies the entire area for one year ?

(a)  16500     (b)  17250    (c)  18375      (d)  19750

Solution

Problem 14 :

Mary runs around a circular track with a radius of 25 meters. If she runs at 75 meters per minute, how many minutes will it take to run one lap around the track, rounded to the nearest integer ?

Solution

Problem 15 :

A movie rental service charges $15 as a monthly subscription fee and $3 per movie rented. If Alex rents x movies per month from this service, which of the following gives the total amount, in dollars, he spends on movie rentals in one year ?

(a)  12x    (b)   15 + 12(3x)    (c)  12(15) + 3x    (d) 12(15 + 3x)

Solution