unit 2 math test
Paula leaves her house at 1.20 pm to get to the ballpark by 2 pm. Malcolm leaves his house for the ballpark at 1.30pm. Paula lives 2 km farther away from the ballpark than Malcolm, but can walk 2 km/hour faster. How fast can Paula walk?
Paula can walk at 6 km/hour.
Ellen and Kate raced on their bicycles to the library after school. They both left school at 3:00 P.M. and bicycled along the same path.Ellen rode at a speed of 12miles per hour and Kate rode at 9 miles per hour.Ellen got to the library 15 minutes before Kate .a. How long did it take Ellen to get to the library? b. At what time did Kate get to the library?
a.45mins b.4PM
Juan drives to work. Because of traffic conditions ,he averages 22 miles per hour.He returns home averaging 32 miles per hour. The total travel time is 2.25 hours.How much time does Juan spends driving to work?
1 and 1⁄3hours
Suppose two sisters live 240 miles apart. One sister has three young children who are planning to visit their aunt for a week. To prevent driving so far, the sisters agree to leave at the same time, drive toward each other, and meet somewhere along the route. The sister with the three children tends to drive carefully and obey the speed limit. Her average rate of speed is 70 mph. The other sister drives too fast, and her average rate of speed is 80 mph. How long will it take the two sisters to meet each other to transfer the children?
1 hour 36 minutes
A person can row a boat six miles per hour in still water. In a river where the current is two miles per hour, it takes him thirty minutes longer to row a certain distance upstream than to row the same distance downstream. Find how long it takes him to row upstream, how long to row downstream, and how many miles he rows.
1 hour upstream, 30 mins downstream, 8 miles total travel
Paul bikes for 3 hours to reach his favorite beach.He bikes 2 miles per hour faster on the way back. So, the trip takes only 2.5 hours.How fast did he bike going to the beach?
10 mph
Two trains, traveling towards each other, left from two stations that are 900 miles apart, at 4 pm. If the rate of the first train is72 mph and the rate of the second train is 78 mph, at what time will they pass each other?
10pm
A boy's coins, consisting of nickels and dimes, amount to 42.05. If the number of dimes exceeds 3 times the number of nickels by 4, find the number of each kind of coin.
119 nickels, 361 dimes
A purse contains 21 coins, consisting of nickels and dimes. How many coins of each kind does it contain if their total value is $1.65?
12 dimes, 9 nickels
A health food store sells a mixture of raisins and roasted nuts. Raisins sell for $3.50/kg and nuts sell for $4.75/kg. How many kilograms of each should be mixed to make 20 kg of mixture at $4/kg?
12kg of raisins, 8 kg roasted nut
One of the legs of a right triangle is seven units longer than the other. The area of the triangle is 6 times the shortest leg. What is the length of the hypotenuse?
13 units
A collection of 52 dimes and nickels is worth $4.50. How many nickels are there?
14 nickels
A boat travels upstream on the Mississippi River for3.5 hours. The return trip only take 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel upstream?
17.5 miles
The value of some nickels and quarters is $1.60. If there are one-third as many nickels as quarters, how many nickels are there?
2 nickels, 6 quarters
Mrs. Robinson cashed a cheque for $500 in five and ten dollar bills. The teller gave her 60 bills. How many five-dollar bills did she receive?
20 5$ bills
A motorboat traveled a certain distance upstream in exactly 2 hours. There turn trip took 40 minutes less. During both trips, the rate of the current was 4 km/hr. How far upstream did the boat travel? How long would this trip have taken if there were no current?
32 km, 3.2 hours round trip.
An engineering consultant is paid $0.18/km for in-city trips and $0.16/km for long distance trips. At the end of the month the consultant received $131.40 for trips. How many km did the consultant travel on long distance trips if the total distance travelled was 780km?
450 km in longdistance travel
Paul walked to school at 6 km/hour and rode home from school at a speed6 times as fast. If his total traveling time was 56 minutes, how many minutes did he spend walking?
48 min
By increasing the speed of her car by 5 mph, Alice was able to drive 12miles in 0.2 hours. What was her original speed?
55 mph
A sum of $14 is made of 92 coins, consisting of dimes and quarters. How many are there of each kind of coin?
60 dimes, 32 quarters
A car started from Memphis toward Little Rock at the rate of 60 km/h. A second car left from the same point 2 hours later and drove along the same route at 75km/h. How long did it take the second car to over take the first car?
8 hours after the second car started, it over took the first car
Paula mixes 2 cups of sunflower seeds with 3 cups of raisins to make a snack for her hike. She needs the mixture to provide her 2900 Calories. Find the number of calories/cup in raisins if it is 400 less than the calories/cup in sunflower seeds.
820 calories/cup for sunflower seeds, 420 calories/cup for raisins
A restaurant bill of $2.85 was paid using quarters and dimes only. If twice the number of quarters is 6 less than 4 times the number of dimes, how many quarters were used?
9 quarters
At 9 am, two boys began hiking at 6 km/hr. At 10.30 am, their mother started after them in her car at 60 km/hr bringing a friend to join them. At what time did she catch up with them?
At 10.40 am.
A canoeist paddles 21 km downstream in 3 hours. The return trip takes 72 minutes longer. What is the rate of the current?
Rate of the current is 1 km/hour.
Sue and Lois live 13.5 miles apart. At 10 am, each girl leaves her house and jogs towards the other. The ratio of Sue's speed to Lois's speed is 5:4. If the girls meet at 11.15 am, how fast does each jog?
Sue jogs at 6 mph and Lois jogs at 4.8 mph.
The first cyclist in a two-leg relay race rode at a speed at 40 km/hr. The second cyclist rode at 30 km/hr. If they completed the 170 km course in 4hours 50 minutes, how far did each cyclist ride?
The first cyclist went 100 km, the second rode 70 km.
A boat can travel 6 km downstream in 40 min. The return trip takes 1 hour.Find the rate of the boat in still water and the rate of the current.
The rate of the boat is 7.5 km/hour and the current is 1.5 km/hr.
Flying with the wind, a small airplane can travel 1080 miles in 6 hours.Flying against the wind, the plane can travel only 720 miles in 6 hours.Find the speed the plan in still air and the speed in the wind.
The speed of the plane is 150 mph and the rate of the wind is 30 mph.
Two jets leave Ontario at the same time, one flying east at a speed 20 km/h greater than the other, which is flying west. After4 hours, the planes are 6000 km apart. Find their speeds.
Their speeds are 740𝑘𝑚/hr 𝑎𝑛𝑑 760𝑘𝑚/h𝑟