10 word algebra problems, assignment help

Please answer and thoroughly explain:

QUIZ
Chapter 11 QUADRATIC APPLICATIONS
449
A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours
1. The Marshalls own a hotel in a small coastal city. Their daughter, Ava, can clean
all the rooms in four fewer hours than her little brother, Aidan, can clean them.
Working together, they can clean all the rooms in 2 hours 40 minutes. Working
alone, how long would Ava need to clean all the rooms?
2. A truck, traveling west at 42 mph, goes over an overpass at the same instant
a northbound train is passes underneath the overpass. The train is traveling at
apart?
40 mph. At these speeds, how long will it take the truck and train to be 29 miles
A. 20 minutes
B. 30 minutes
C. 40 minutes
D. 50 minutes
3. The area of a rectangle is 90 cm². If its length is 13 cm longer than its width, how
long is the rectangle?
A. 15 cm
B. 16 cm
C. 17 cm
D. 18 cm
4. The sum of two numbers is 18 and their product is 77. What is the larger number?
A. 10
B. 11
C. 12
D. 13
5. An object is dropped from a height of 125 feet. It will hit the ground in about
A. 2.8 seconds.
B. 3 seconds.
C. 3.2 seconds.
D. The answer cannot be determined.
6. The volume of a rectangular box is 432 in?. Its length is 8 inches, and its height
is 1į times its width. How tall is the box?
A. 4 inches
B. 5 inches
C. 7 inches
D. 9 inches
7. Marco drove 210 miles to be a best man at his friend’s wedding. The drive there
and back took a total of 6 hours 25 minutes. On the way back, he faced traffic
and averaged 12 mph slower than the trip to the wedding. What was Marco’s
average speed on the return trip?
A. 60 mph
B. 62 mph
C. 64 mph
D. 66 mph
8. A campus sorority sells school shirts at all home basketball games. At $20 per
shirt, they average 80 shirts per game. According to a research project con-
ducted by a marketing class, they will sell 10 more shirts for each $1 decrease in
the price. What price should they charge so that their average revenue per game
is $1960? ni
A. $14
B. $15
C. $16
D. $18
9. The hypotenuse of a right triangle is 37 meters. The base is 23 meters longer
than its height. What is the height of the triangle?
A. 12 m
B. 15 m
C. 18 m
D. 20 m
10. An object is tossed upward from the ground at the rate of 48 feet per second.
After how long will the object be 10 feet off the ground?
A. About 0.20 and 2.80 seconds.
SELE
B. About 0.35 and 2.65 seconds.
C. About 0.23 and 2.77 seconds.
D. The object will never reach a height of 10 feet.
11. A small motorboat traveled downstream for 8 miles and then turned around and
traveled back upstream for 8 miles. The total trip took 3 hours. If the stream’s rate
is 2 mph, how fast would the motorboat have traveled in still water?
A. 3 mph
B. 4 mph
C. 5 mph
D. 6 mph