Ten application problems in solving binary linear equations
1. There is a pasture where the grass grows at a constant speed every day. If you graze 24 cows, you will eat the grass in 6 days. If you graze 2 1 cow, it will be finished in 8 days. Suppose that each cow eats the same amount of grass every day, Q: 1. If you graze 16 cows, how many days can you eat grass? 2. How many cows can you graze in order to keep the pasture inexhaustible? 2. Arrange staff accommodation for the meeting. If there are 6 people in each room and 8 people have no accommodation; If there are seven people in each room, two dormitories are available. Ask the number of people attending the meeting and the number of dormitories. 3. There are 27 people working in A, and 19 people working in B, and now 20 people are transferred to support, so the number of A is twice that of B. How many people should A and B transfer? 4. It takes two hours for a ship to travel downstream from Pier A to Pier B, and three hours to travel upstream from Pier B; It is known that the distance between terminals A and B is 60 kilometers, so find out the speed and current speed of the ship in still water. An airplane flies between cities A and B, which are 2448 kilometers apart. It takes 2 hours and 50 minutes to fly downwind from A to B and 3 hours to fly upwind from B to A, so it is necessary to know the flight speed and wind speed when there is no wind. 6. Piping occurred in the depression near the river bank, and the river kept pouring out. Assuming that the water sprayed every minute is the same, if four pumps are used, 16 minutes can be used to finish pumping. If you want to deal with the danger as soon as possible, how many pumps are needed to pump the water dry in 10 minutes? Seven. There are two types of trucks: A and B. Two A-type trucks and three B-type trucks can transport 5.5 tons at a time, and five A-type trucks and six B-type trucks can transport 35 tons at a time. How many tons can 1 A and 1 B cars transport at a time? Eight. There are 22 workers in a workshop, and each person can produce 1200 nuts or 2000 nuts on average every day. If one nut is matched with two nuts, how should the workers distribute them so that the nuts and bolts just match? 9. Party A and Party B are 6km apart, set out at the same time and meet face to face, 1 hour; Starting in the same direction at the same time, A can catch up with B in 3 hours. What is the average speed of two people? 10. Someone is running along the road. Pay attention to the fact that a bus drives from the back to the front every 6 minutes, and a bus drives from the opposite side every 2 minutes. If this person is at the same speed as the bus, a bus will come every few minutes.