Mr. Vogt’s “Word Problems”
1. One
printer can label an entire high school class list of envelopes in 4 hours, but
the new printer can do the job in 2 hours.
How long will it take to do the task if both printers are used
simultaneously?
2. Jim invests $900 into two accounts – one
receiving an interest of 2% annually and the other with a 6% annual interest
rate. If he made $30 at the end of the year the how much was invested into each
account?
3. Mom takes a turbo train north travelling at
180 mph. After she leaves you find her
nitroglycerin (for her heart condition) so you charter a super-turbo train that
travels at 330 mph. If you leave twenty
minutes after she departed (physically – not spiritually) then how long will it
take to catch her (especially if she needs her medicine within 45 minutes)?
4. The product of the first and the last of
three consecutive integers is one more than the second integer squared. What are the three integers?
5. The
product of the first and the last of three consecutive integers is one less
than the second integer squared. What
are the three integers?
6. It takes one pump 30 hours to empty a
pool. A second pump can get the job done
in 20 hours. How long will it take to
empty the pool if both pumps work together.
7. Acme computer repair charges a $2 inspection
fee and $10 per hour service fee. Mace computers charges a $14 inspection fee and $6 per hour
service fee. Find the break (even) point
and explain which is the better company to use.
8. The
product of the first and second of three consecutive even numbers is four less
than double the third. Find the three
integers.
9. The product of the first and second of three
consecutive even numbers is two less than five times the third. Find the three integers.
10. An inlet valve can fill a small pool in 15
hours, but an outlet valve can empty it in 6 hours. How long does it take to empty the pool if
both are left on?
11. Fred made $8 by splitting $1200 into two
investments – one earned 4% for the year, but the other lost 4%? How much was in each?
12. Triple the second of three consecutive odd
integers is equal to two times the third minus the first then increased by
twenty-six. Find the three integers.
13. Triple the second of three consecutive odd
integers is equal to two times the third minus the first then increased by
twenty. Find the three integers.
14. Jack leaves his house traveling at 35
mph. A half hour later
his wife takes off driving 5 mph faster.
If they travel the same freeway, how long does it take her to overtake
him?
15. Samuel and Samantha were 540 miles apart and,
at the same time, drove straight toward each other. Samantha drove non-stop on a dirt road while
Sam drove on the freeway so he was able to go twice as fast as her. If they meet in 4.5 hours, how fast was
Samantha going? How fast was Samuel
traveling?
16. Strike Out Lanes charges $4 for shoes and $1.50 per game while
Spare-A-Dime Lanes charges just $2.50 per game (shoes are included in that
price). Find the break (even) point and
explain which is the best buy if you are going to bowl
all day.
17. Bob rode his moped at full speed, from his
home to his girlfriend’s, against a stiff 10 mph wind in 8 hours. He rode back with the same wind doing the
trip in 6 hours. How fast can his moped
go in still air? How far apart do they
live?
Answers:
1) 1 hr 20 min 2)
$600 @ 2%, $300 @ 6% 3) 24 min 4) Æ 5) Â 6) 12 hr 7)
3 hr (Acme is
better for 3 hr or less)
8) {(-2,0,2), (2,4,6)} 9) {(6,8,10)} 10) 10 hr 11) $700,
$500 12) Æ 13) {(11,13,15)} 14) 3.5 hr
15) 40 mph, 80 mph 16)
4 games (Spare
is best for 4 games or less) 17) 70 mph,
480 mi.
* Vogt Educational Materials
