AGE PROBLEM

Brian is presently four times older than Sam. Six years later, he will be twice as old as Sam. How old are Brian and Sam? SP = 3 years old BP = 12 years old

A year ago, John was three times as old as Larry. A year later, he was twice as old as Larry. How old are John and Larry? LP = 3 years old BP = 7 years old

Joyce is four times as old as Martha. In nine years time, Joyce will be three times as old as Martha. Find their present ages. J = 72

Six years ago, Romel was five times as old as Lejon. In five years, Romel will be three times as old as Lejon. What is the present age of Lejon? L= 17 years old

In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is68. How old is each one now? Miguel is presently eleven years old. the grandfather is 57 years old

Manuel Alvarez is ten times older than his son,Andrew. In 20 years, Manuel's age will be 4 more than twice Andrew's age. How old was he when Andrew was born?

John is twice as old as his friend peter. peter is 5 years than alice. In five years, John will be 3 times as old as alice. How Old is peter Now.?

Four years ago, Pinky was 4 times as old as Rosie. In ten years, she will be two years younger than twice the age of Rosie. How old are they now?

DIGIT PROBLEM

In a three digit number, the hundreds digit is twice the units digit. If 396 be subtracted from the number, the order of the digits will be reversed. Find the number if the sum of the digits is 17.

100X +10Y = 84

The sum of the digits of a three-place number is 19. If the tens and units digits are interchanged the

number is diminished by 27, and if the hundreds and tens digits are interchanged the number is increased by 180. What is the number?100X +10Y = 685

MIXTURE PROBLEM

How many liters of 10% salt solution must be added to 20% salt solution in order to obtain 10 liters of 12% salt solution? 8 LITERS

Coin denominations in the US

Name Coin value

Dollar Equivalent

Penny 1 ¢ $0.01Nickel 5 ¢ $0.05Dime 10 ¢ $0.10

Quarter 25 ¢ $0.25Half-dollar 50 ¢ $0.50

A collection of 32 coins amounted to $5.15. If it consists of dimes and quarters, how many quarters are there? ANS. 13

MOTION PROBLEM

How long will it take a bus traveling 72 km/hr to go 36 kms?it will take one-half hour

How fast in miles per hour must a car travel to go 600 miles in 15 hours? So, the rate is 40 miles per hour.

Mrs. Benevides leaves Burbank at 9 a.m. and drives west on the Ventura Freeway at an average speed of 50 miles per hour. Ms. Twill leaves Burbank at 9:30 a.m. and drives west on the Ventura Freeway at an average speed of 60 miles per hour. At what time will Ms. Twill overtake Mrs. Benevides, and how many miles will they each have gone? Ms. Twill overtakes Mrs. Benevides after 2.5 hours of driving. The exact time can be figured out by using Ms. Twill's starting time: 9:30 + 2:30 = 12 noon. Since Ms. Twill has traveled for 2.5 hours at 60 mph, she has traveled 2.5 × 60, which is 150 miles. So, Mrs. Benevides is overtaken at 12 noon, and each has traveled 150 miles.

In still water, Peter’s boat goes 4 times as fast as the current in the

river. He takes a 15-mile trip up the river and returns in 4 hours. Find the rate of the current. The rate of the current is 2 mph.

An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff. d = 1720 m

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car. a = 8.10 m/ s2

Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.6 seconds, what will be his final velocity and how far will he fall? vf = -25.5 m/s (- indicates direction)

A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled. d = 79.8 m

A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon. t = 1.29 s

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.8 seconds, then what is the acceleration and what is the distance that the sled travels? d = 400 m

A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike. a = 0.712 m/s2

An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway? d = 704 m

A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car

(assume uniform acceleration). d = 28.6 m

A kangaroo is capable of jumping to a height of 2.62 m. Determine the takeoff speed of the kangaroo. vi = 7.17 m/s

If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed and his hang time (total time to move upwards to the peak and then return to the ground)? hang time = 1.03 s

A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration). a = 1.62*105 m /s2

A baseball is popped straight up into the air and has a hang-time of 6.25 s. Determine the height to which the ball rises before it reaches its peak. (Hint: the time to rise to the peak is one-half the total hang-time.) d = 47.9 m

The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below. t = 8.69 s

A bullet is moving at a speed of 367 m/s when it embeds into a lump of moist clay. The bullet penetrates for a distance of 0.0621 m. Determine the acceleration of the bullet while moving into the clay. (Assume a uniform acceleration.) a = -1.08*106 m /s2

A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well. d = -57.0 m

It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s2, determine the speed of the Jaguar before it began to skid. vi = 47.6 m /s

A plane has a takeoff speed of 88.3 m/s and requires 1365 m to reach that speed. Determine the acceleration of the plane and the time required to reach this speed. t = 30. 8 s

A dragster accelerates to a speed of 112 m/s over a distance of 398 m. Determine the acceleration (assume uniform) of the dragster. a = 15.8 m/s2

With what speed in miles/hr (1 m/s = 2.23 mi/hr) must an object be thrown to reach a height of 91.5 m (equivalent to one football field)? Assume negligible air resistance. vi = 94.4 mi/hr

WORKPROBLEM

Eleven men could finish the job in 15 days. Five men started the job and four men were added at the beginning of the sixth day. How many days will it take them to finish the job? 20.56 days

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

Jane, Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can finish it in 6 hours. How long will it take for Peter to finish the job alone?

A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. if the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?

If it takes 3 men, 2 hours to paint a house, in how many hours 6 men can finish the same job?

Andy can bake 2 pizzas in 1 hour. Ben can bake 3 pizzas in 1 hour. How much time (in hours) will it take Andy and Ben to bake 10 pizzas? 2 hrs