(2) Distance between the two places 120km. Two people, A and B, start from two places by bike at the same time. Car A runs every hour 14km. Four hours later, I met car B. What is the speed of car B?
(3) There are 800 exhibits in the school painting and calligraphy exhibition. The ratio of art exhibits to calligraphy exhibits is 5: 3. How many are there in each of the two exhibits?
(4) The actual distance between A and B is 120km. What is the distance between the two cities on the map with the scale of 1: 4000000?
(5) On the map of China with the scale of 1: 400000, the distance from Beijing to Shaoshan is 35cm. What is the actual distance from Beijing to Shaoshan?
(6) A loom can weave 24 meters in 4 hours. According to this calculation, how many hours does it take to weave 54 meters? (Use proportional solution)
(7) Wang Gang walks 60 meters from home to school. He can walk to school 15 minutes. If he walks 75 meters, how many minutes can he walk to school? (Use proportional solution)
(8) There are two barrels of oil, and the weight of barrel A is 1.2 times that of barrel B. If you pour 5 kilograms of oil into barrel B, the two barrels of oil are equally heavy. How many kilograms are there in these two barrels of oil?
Ability and quality improved 1, and a road was built. It was originally planned to be completed in 0/5 day/kloc-and actually 300 meters were built every day. The result was completed three days in advance. How many meters was originally planned to be built every day?
2. A car has 102 liters of oil in its fuel tank, and it consumes 8 liters of oil in 56 kilometers. According to this calculation, how many kilometers can the remaining oil be used?
Someone walked 22.4 kilometers in 4 hours. At this rate, if you walk for another three hours, how many kilometers can a * * * walk? (Use proportional solution)
4. There are 150 books in kindergartens in Le Tong, 40% of which are allocated to large classes, and the rest are allocated to small classes and middle classes according to the ratio of 4: 5. How many books are there in the small class and the middle class?
6. The price of a set of desks and chairs is 105 yuan, of which the price of chairs is 5/7 of that of desks. What's the price of the chair? (Answer with different knowledge)
7. Maple Leaf Garment Factory received the task of producing a batch of shirts, and produced 600 pieces in the first five days, completing 40% of the task. According to this calculation, how many days will it take to complete this task? (Answer with different knowledge)
Infiltration, expansion and innovation: 1. The original zinc and copper in a workshop is * * * 84kg. Now it is necessary to add 12kg of copper to cast zinc and copper into an alloy according to 1∶2. How many kilograms of copper is it?
2. For a cuboid model, the sum of all sides is 72 decimeters, and the ratio of length to width to height is 4∶3∶2. What is the volume of this cuboid model?
Appreciating Smart and Interesting Questions Xiaoming read a book and read part of it in the morning. At this time, the ratio of read pages to unread pages is 1 ∶ 9. I read six more pages in the afternoon than in the morning. At this time, the ratio of the number of pages I have read to the number of pages I have not read becomes 1: 3. How many pages are there in this book?
Three students, Xiaohong, Xiao Li and Xiao Qiang, each bought some exercise books with the same amount of money. Xiaohong bought 0.6 yuan, two less than Xiao Qiang, and Xiao Li bought 0.4 yuan, three more than Xiao Qiang. How many exercise books did Xiao Qiang buy? What is the price of each book?
Suppose Xiao Qiang bought X exercise books, then
0.6×(x-2)=0.4×(x+3)
0.6x- 1.2=0.4x+ 1.2
0.6x-0.4x= 1.2+ 1.2
0.2x=2.4
x= 12
Substitute 0.6×(x-2)=0.6×( 12-2)=6.
6÷ 12=0.5
Xiao Qiang bought 12 exercise books, each in 0.5 yuan.
There are several bags of rice in the grain depot. For the first time, more than half of the stored rice was shipped out in 20 bags; The second time, the remaining half was shipped out in a 10 bag; 200 bags were brought in for the third time; And there are 260 bags in the grain depot. How many bags of rice were there in the original grain depot?
Set the original rice x package in the grain depot, and then
6. Li Gang rides a bike from place A to place B, riding uphill first, and then riding a flat road. After he arrived in B, he immediately went back to A, and it took him three hours to go back and forth. Li Gang rode 6 kilometers more on the flat road than on the uphill road, and 3 kilometers more on the downhill road than on the flat road. It is known that he rode 5 kilometers less in the first hour than in the second. (2) How many minutes did it take to go down the mountain? (3) How many kilometers is the distance between Party A and Party B?
(1) Because the uphill road is 6 kilometers less per hour than the flat road, and the first hour is better than the second.
Hours, so uphill * * * time:
(2) If the road is leveled for x hours and downhill for 1-x hours at the third hour, then
6x+(6+3)( 1-x)=8
6x+9( 1-x)=8
6x+9-9x=8
9-3x=8
3x=9-8
So it takes 60-20=40 minutes to go downhill.
(3) If the uphill road is X kilometers per hour, the flat road is x+6 kilometers per hour, and the downhill road is x+6+3 kilometers per hour, then:
Multiply both sides of the equation by 6, and then
7x=4(x+9)
7x=4x+36
3x=36
X= 12 (hour)
(km answer: 70 minutes uphill and 40 minutes downhill. The distance between Party A and Party B is 24.5 kilometers. )
1. Now a commodity is reduced in price 10% for promotion. In order to keep the total sales amount unchanged, how much is the sales volume increased over the original price?
1÷( 1- 10%)- 1
= 1/9
≈ 1 1. 1 1%
A: The increase is11.11%.
2. A said to B, "When I was your age, you were only 4 years old." B said to A, "When I reach your present age, you will be 6 1 year old." What are the ages of A and B now?
A is now x years old and b is now y years old.
According to the meaning of the question:
x-y=y-4，
x-y=6 1-x
Solution: x=42, y=23.
A: A is 42 years old and B is 23 years old.
3. There are an odd number of cups with their mouths facing down, and it is called an action to rotate an even number of cups at the same time. Can you make all the cups face up after a few moves? Why?
No. Because the last cup is odd, of course, you can't do a sport.
4. If a batch of manuscripts has been copied for 30 hours, and B has been copied for 20 hours, it will be the remaining time for B to copy after 3 hours. B how many more hours do you need to copy? (column equation solution)
Setting b takes x hours.
1/30 * 3+X * 1/20 = 1
The solution is X= 18.
Party A and Party B ride motorcycles from AB, which is 60 kilometers apart, to a certain place. Party A is behind Party B. Party A rides 80 kilometers per hour and Party B rides 45 kilometers per hour. If A leaves 30 minutes earlier than B, how long will it take A to catch up with B?
1/2 * 80 = 40km
(60-40)/(80-45)=4/7
4/7+ 1/2= 15/ 14
Set x hours to catch up.
80X=45*(X- 1/2)+60
The solution is X= 15/ 14.
6. An airplane was originally scheduled to fly to its destination at a speed of 495 kilometers per hour, but due to the urgent task, its flight speed was increased to 660 kilometers per hour, and as a result, it arrived 1 hour earlier. What is the total flight distance?
x/495-x/660= 1
7. Eat 0.6 kg of soy sauce first, and then eat the remaining 3/5. There is still 0.8 Jin of soy sauce in the bottle. How many kilograms is this bottle of soy sauce?
(X-0.6)*( 1-3/5)=0.8
8. A truck and a bus run back at the same time. The truck runs for 5 hours, the bus runs for 6 hours, and the distance between the two cars is 568 kilometers. It is known that the speed of trucks is 8 kilometers faster than that of passenger cars. How many kilometers does the bus run per hour?
If the bus is X, the truck is X+8.
5(X+8)+6X=568
9. Xin Li rode a bike, Liu Qiang rode a motorcycle, and started from two places 60 kilometers apart. After meeting on the road, they continued to walk on their backs. Six hours after their departure, they were 240 kilometers apart. As we all know, the speed of Xin Li is18km. How many kilometers does Liu Qiang drive every hour?
6( 18+X)=60+240
10. Party A and Party B are 22.5km apart and walk in opposite directions at the speed of 2.5km/h and 5km/h respectively. At the same time, the puppy brought by Party A ran to Party B at a speed of 7.5km/h, and the puppy returned to Party A immediately after meeting Party A, and then ran to Party B ... until Party A and Party B met, seeking the distance that the puppy would walk.
Because the walking time of the puppy = the walking time of both parties.
So the distance of the puppy = the time of the puppy * the speed of the puppy.
= Time of Party A and Party B * Puppy speed
=22.5/(2.5+5)*7.5
=22.5 km