A freight train left a station at 12 noon, going north at a rate of 50
miles per hour. At 1:00 P.M. a passenger train left the same station,
going south at a rate of 60 miles per hour. At what time were the trains
380 miles apart?

A plumber works twice as fast as his apprentice. After the plumber has
worked alone for 3 hours, his apprentice joins him and working
together they complete the job 4 hours later. How many hours would it
have taken the plumber to do the entire job by himself?

A man drove to work at an average rate of speed of 60 miles per hour
and returned over the same route driving at an average rate of speed of
40 miles per hour. If his total driving time was 1 hour, what was the
total number of miles in the round trip?

A printing press produces 4,600 flyers per hour. At this rate, in how
many minutes can the same printing press produce 920 flyers?

If Andy drove 84 miles in 1 hour 45 minutes, how many miles can he drive in 5 hours?

Joseph typed a 1,200-word essay in 25 minutes with an average of 240
words on a page. At this rate, how many 240-word pages can he type
in 1 hour?

A trail mix contains raisin, peanut, and chocolate.
The ratio of raisin to peanut is 2:3 and the ratio
of peanut to chocolate is 5:8 . What is the ratio
of raisin to chocolate?

An eye medication that is used to treat increased pressure inside the
eye is packaged in 2.5 milliliter bottles. During the manufacturing
process, a 10 decaliter capacity bin is used to fill the bottles. If 1
decaliter is equivalent to 10 liters and 1 liter is equivalent to 1,000
milliliters, what is the maximum number of bottles that can be filled?

A sprinter who can run the 40-yard dash in 4.5 seconds converts his
speed into miles per hour, using the product above. Which fraction in
the product is incorrectly written to convert his speed?

Jonathan drove to the airport to pick up his friend. A rainstorm forced
him to drive at an average speed of 45 miles per hour, reaching the
airport in 3 hours. He drove back home at an average speed of 55 miles
per hour. How long, to the nearest tenth of an hour, did the trip home
take him?

If x people working together at the same rate can complete a job in h
hours, what part of the same job can one person working alone
complete in k hours?

A collection of quarters, dimes, and nickels is
worth €5.00. If the ratio of quarters to dimes to
nickels is 2:4:7 , how many quarters are there?

Concrete is made by mixing cement, sand, and
gravel in the ratio 5 : 9 : 13. How much cement
is needed to make 324 ft² of concrete?

A motor boat traveling at 18 miles per hour traveled the length of a
lake in one-quarter of an hour less time than it took when traveling at
12 miles per hour. What was the length in miles of the lake?

If the mass of a proton is \( 1.67 × 10^{-24}\) gram, what is the number of
grams in the mass of 1,000 protons?

Which expression could be used to change 8 kilometers per hour to
meters per minute?
$$(A) \frac{8km}{hr} \times \frac{1km}{1000m}\times \frac{1 hr}{60min}$$
$$(B)\frac{8km}{hr} \times \frac{100m}{1km}\times \frac{60 min}{1hr}$$
$$(C)\frac{8km}{hr} \times \frac{1000m}{1km}\times \frac{1 hr}{60 min}$$
$$(D)\frac{8km}{hr} \times \frac{1km}{1000m}\times \frac{60min}{1hr}$$

Carmen went on a trip of 120 miles, traveling at an average of x miles
per hour. Several days later she returned over the same route at a rate
that was 5 miles per hour faster than her previous rate. If the time for
the return trip was one-third of an hour less than the time for the
outgoing trip, which equation can be used to find the value of x?

Two pipes of different diameters may be used to fill a swimming pool.
The pipe with the larger diameter working alone can fill the swimming
pool 1.25 times faster than the other pipe when it works alone. One
hour after the larger pipe is opened, the smaller pipe is opened, and the
swimming pool is filled 5 hours later. Which equation could be used to
find the number of hours, x, it would take for the larger pipe to fill the
pool working alone?
$$(A)\left ( \frac{1}{1.25x} \right )5+\left ( \frac{1}{x} \right )6 =1$$
$$(B)\left ( \frac{1}{x} \right )5+\left ( \frac{1}{1.25x} \right )6 =1$$
$$(C)\left ( \frac{x}{5} \right )1.25+\left ( \frac{x}{6} \right ) =1$$
$$(D)\left ( \frac{x}{5} \right )+\left ( \frac{x}{6} \right )1.25 =1$$

One machine can seal 360 packages per hour, and an older machine
can seal 140 packages per hour. How many MINUTES will the two
machines working together take to seal a total of 700 packages?

If four pens cost €1.96, what is the greatest number of pens that can be
purchased for €7.68?

Together there are 754 students and teachers in
the meeting. If the ratio of students to teachers
is 27 : 2 , how many teachers are there?

A star constellation is approximately 3.1 × 10^4 light years from Earth.
One light year is about 5.9 × 10 ^12 miles. What is the approximate
distance, in miles, between Earth and the constellation?

Steve is going to paint a wall that measures 9 feet by 12 feet. If one gallon of paint is needed for each s square foot of wall and each gallon costs g dollars, in terms of s and g how much does it cost to paint the entire wall?

On a certain map, 1.5 inches represent a distance of 120 miles. If two
cities on this map are 1 foot apart, what is the distance, in miles,
between the cities?

A freight train and a passenger train start toward each other at the same
time from two towns that are 500 miles apart. After 3 hours, the trains
are still 80 miles apart. If the average rate of speed of the passenger
train is 20 miles per hour faster than the average rate of speed of the
freight train, what is the average rate of speed, in miles per hour, of the
freight train?

On a map, 1 inch represents 5 miles. If a certain
state is represented on a map by a rectangle 10
inches by 7.2 inches, what is the area of the state
in square miles?

An electrician can install 5 light fixtures in 3 hours. Working at that
rate, how long will it take the electrician to install 8 light fixtures?

Fruit for a dessert costs €1.20 a pound. If 5 pounds of fruit are needed
to make a dessert that serves 18 people, what is the cost of the fruit
needed to make enough of the same dessert to serve 24 people?