Distance Word Problems
A submarine left Hawaii two hours before an aircraft carrier. The vessels traveled in opposite directions. The aircraft carrier traveled at 25 mph for nine hours. After this time the vessels were 280 mi. apart. Find the submarine's speed.
5 mph
Suppose while at a store you ask for change for seven dollars. You get in return exactly thirty-four coins, all of which are dimes and quarters. How many dimes and quarters did you receive?
10 dimes, 24 quarters
Krystal can wax a floor in 16 minutes. One day her friend Perry helped her and it only took 5.76 minutes. How long would it take Perry to do it alone?
9 minutes
Simplify: 343x/84y
49x/12y
Solve for x: 5y/x = 8a
x = 5y/8a
A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45 km/h in an effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average speed?
10 kph
Brian paid for an item at the store and received eleven dollars in change. He received an equal number of dimes and nickels and two fewer than four times the number of nickels in quarters. How many nickels, dimes and quarters did he receive?
10 nickels, 10 dimes, 38 quarters
Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.
11 hours
If x = -3 and y = -5, evaluate: x2 + 3xy - y2
29
Solve: 3(x-5) - 2(x+2) = 6(x-1)
-13/5
A cargo plane flew to the maintenance facility and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 220 mph. The average speed on the way back was 200 mph. How many hours did the trip there take?
10 hours
Michelle paid for an item at the store and received seven dollars in change. She received three more dimes than she did nickels and three more quarters than she did dimes. How many nickels, dimes and quarters did she receive?
13 nickels, 16 dimes, 19 quarters
Shawna can pour a large concrete driveway in six hours. Dan can pour the same driveway in seven hours. Find how long it would take them if they worked together.
3.23 or 3 3/13 hours
Find the ratio of 28xyz to 96y
7xz to 24
Solve: 5x-7>15-3x
x > 11/4