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The teacher takes two students to visit the museum 33 kilometers away from the school. The teacher takes a motorcycle with a speed of 25 km / h. the back seat of the motorcycle can take one student with a speed of 20 km / h. The walking speed of the students is 5 km / h. please design a scheme so that the time for the three teachers and students to arrive at the museum is no more than 3 hours
Because student a is asked to walk first, and the teacher takes student B to a certain place away from the museum, puts down student B and lets him walk, while the teacher goes to pick up student a, and the last three people arrive at the same time, so the walking distance of Party A and Party B is equal, which is set as X kilometers. According to the walking time of Party B, it is equal to the time when the teacher returns to pick up student a and arrives We get: X5 = 33 − 2x25 + 33 − X20, get 20x = 4 (33-2x) + 5 (33-x), get x = 9, so the sharing time is 33 − 920 + 95 = 3 hours
Uncle Zhang takes a taxi from home to the museum. After passing by the cultural museum, he has to drive 4 kilometers due east. If the taxi journey is within 2 kilometers (including 2 kilometers), the starting price will be 5 yuan. After that, the fare of each line will increase by 1.5 yuan. ① show the location of the museum in the picture. ② how much is Uncle Zhang's taxi fare? (the data measured in the figure is rounded in centimeters)
① 4 km = 400000 cm, 400000 × 1200000 = 2 (CM), as shown in the figure: ② the distance from Uncle Zhang's house to the cultural center is 1 cm, 1 △ 1200000 = 200000 (CM), 200000 cm = 2 km, 5 + 1.5 × 4 = 5 + 6 = 11 (yuan); answer: Uncle Zhang's taxi fare is 11 yuan
The distance between Xiaoming's home and school is 4km. Xiaoming goes to school by bike every day. It is known that the average speed of Xiaoming's bicycle is 10 ~ 15km / h (including 10km / h and 15km / h). 1. Write the functional relationship between time t and average speed v
t=4/v
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- 1. Xiao Ming goes to school by bike from home every minute. After 8 minutes, it is 60 meters away from school. How many meters is Xiao Ming's home away from school
- 2. Xiao Ming walks to school from home in the morning. Half the way, his father finds Xiao Ming's math book at home, Then he rides a bike to deliver books to Xiao Ming. When he catches up, Xiao Ming still has 3 / 10 of the way to go. Xiao Ming immediately gets on his father's car and is sent to school by his father. In this way, Xiao Ming arrives at school 5 minutes earlier than walking alone. How long does it take Xiao Ming to walk from home to school?
- 3. Xiaoming walks to school from home in the morning. Half the way, his father finds that his math book is left at home. He rides a bike to deliver the book to Xiaoming. When he catches up, Xiaoming still has 310 miles to go. Xiaoming immediately gets on his father's car and is sent to school by his father. In this way, Xiaoming gets to school 5 minutes earlier than walking alone. How long does it take Xiaoming to walk from home to school?
- 4. Xiaoming walks to school from home in the morning. Half the way, his father finds that his math book is left at home. He rides a bike to deliver the book to Xiaoming. When he catches up, Xiaoming still has 310 miles to go. Xiaoming immediately gets on his father's car and is sent to school by his father. In this way, Xiaoming gets to school 5 minutes earlier than walking alone. How long does it take Xiaoming to walk from home to school?
- 5. Xiaoming's journey from home to school is 540 meters. It takes him 9 minutes to go to school, and it takes him 3 minutes less to go home than to go to school? It's wrong. 540 △ 9 = 60m, 540 △ 6 = 90m (90 + 60) △ 2 = 75m. This answer is wrong. The great Xia can help me see where it is wrong. The correct answer is 540 × 2 △ 9 + 6 = 72m
- 6. It took Xiaoming 15 minutes to get to the school 1.08 kilometers away from home. What's the speed on Xiaoming's way to school?
- 7. Xiaoming's distance from home to school is 1000 meters. It takes 15 minutes for Xiaoming to go to school and 25 minutes for Xiaoming to go home from school. What's the average speed for Xiaoming to and from school How many?
- 8. It takes Xiaoming 50 minutes to walk from home to school and 15 minutes by bike. One day, Xiaoming set out on foot from home and went to school 20 minutes away from home The grandmother's house on the same route went to pick up the bike and continued to drive to the school. If he didn't remember the time of picking up the bike, how many minutes did Xiao Ming spend from home to school on this day?
- 9. It takes Xiaoming 10 minutes to walk from home to school and 15 minutes to return. The average speed of Xiaoming's round trip from home to school is as follows
- 10. When Xiao Ming walks 10km an hour from home to school, he will arrive at school 10 minutes later than planned, and walk 15km an hour, Now Xiao Ming wants to get to school five minutes earlier than he planned, but he doesn't know how many kilometers he should walk per hour. Can you tell Xiao Ming what his speed is?
- 11. Fill in the operation symbols to add, subtract, multiply and divide to make the equation true 5 5 1 5=8 3 8 3=24 It's a continuous equation
- 12. The first one: M + 3 / M - the square of M - 9 / 6 / M - 2 / 3, where M = - 2 (simplified evaluation) The second: X-2 / 5x-4 = 3x-6 / 4x + 10 Final - 1 (solving the equation) Who can tell,
- 13. Given 3x + 4y-6 = 0, find 8 ^ x * 16 ^ y
- 14. 1. 101 * 99-100 and 1 / 2 * 99 and 1 / 2
- 15. Fast, fast, 1. If (a-b) × 0.5 = 1.2, a △ 0.2 = 12, then B = () 2. To make the equation "number + Learning" × (number + Learning) = mathematics "hold, then the number represented by" number "is (), and the number represented by" learning "is () 3. One and a quarter × 17.6 + 36 △ four fifths + 2.64 × 12.5= four
- 16. The two passenger and freight cars leave from the two places at the same time. After two hours of meeting, the distance ratio between the passenger car and the freight car is 2:5. The passenger car travels 40 kilometers per hour, and the freight car travels how many kilometers per hour Another way is that for a project, Party A and Party B need to complete it in six days. It is known that 1 / 2 time for Party A to complete this work alone is equal to 1 / 3 time for Party B to complete this work. How long does it take for Party A to complete this work alone?
- 17. What is the constant term in the expansion of (x + 1 / x) ^ 4?
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- 19. 1. Observe the following formulas: 1 + 2 + 1 = 4, 1 + 2 + 3 + 2 + 1 = 9 1＋2＋3＋4＋3＋2＋1＝16 1＋2＋3＋4＋5＋4＋3＋2＋1＝25 (1) Please find out the law of it 2. Using the rule of (1), please quickly calculate: 1＋2＋3＋…… ＋99＋100＋99＋…… The value of + 3 + 2 + 1 2. Observe the following equation: 2＝2＝1x2 2＋4＝6＝2x3 2＋4＋6＝12＝3x4 2＋4＋6＋8＝20＝4x5 (1) Write the sum of continuous even numbers from 2 to n (n is a natural number) (2) When n = 10, what is the sum of consecutive even numbers from 2 to the 10th
- 20. If (0.5 + a) ^ 2 and | B-2 | are opposite, then a ^ B =? In the process of culture, a certain bacterium splits every half an hour (from one to two). If the bacterium splits from one to 16, how many hours will it take?