The speed of cycling is (one-eighth) of the train speed and (one-fourth) of the car speed.
So cycling takes two days by bus and train 1 day every eight days.
Set [bike 8 days, car 2 days, train 1 day] to 1 group.
1 group is 1 1 day,
22 is twice as much as 1 1.
So there should be two groups,
Cycle: 8× 2 = 16 (days)
Driving: 4× 2 = 8 days
By train: 1× 2 = 2 (days)
Method 2: One-dimensional linear equation
Suppose it takes x days by train, 2x days by car and 8x days by bike. The speed of cycling is the speed of the train.
From the meaning of the question, X+2x+8x = 22 * * * 22 days ........... (one eighth) is a car.
............................................. velocity with X = 2 (one quarter).
So 2x = 2x2 = 4.
8x=2×8= 16
Method 3: ternary linear equation
It takes x days to ride a bike, y days to drive and z days to take a train.
X+Y+Z = 22 * * * The meaning of the distance problem is still 22 days.
X = 2y ... The speed of riding a bike is eight times that of a train.
X = 8z... 1), which is (a quarter) of the speed.
X = 16。
y=4
z=2
2. Method 1: Binary linear equation
Set the fast speed x (km/h) and the slow speed y (km/h).
The total distance of equation 6x = 8y is equal.
2 (x+y) = 280 2h * * * Line 280km
The result is x = 80.
y=60
The distance between the two places can be obtained by speed × time = 80× 6 = 480 (km).
Method 2: One-dimensional linear equation (complex number)
Let the total distance be x (km)
2[ 1/6 (score, one sixth, the same below) x+ 1/8x] = 280.
Note: 1/6x is the speed of A train (it takes 6 hours for the express train to go from A to B), 1/8x is the speed of B train (it takes 8 hours for the local train to go from B to A), and 2 (1/6x+ 1/8x) means that A and B travel for 2 hours.
The result is x = 480.
Method 3: Basic thinking method
It takes six hours for the express train to go from A to B, so the total distance of the express train per hour is 1/6.
It takes 8 hours for the local train to go from B to A, so the total distance of the local train per hour is 1/8.
1/6+ 1/8=7/24,
In other word, that total distance traveled by express train and local trains per hour is 7/24,
If two cars drive 280 kilometers in two hours, it is 140 kilometers/hour.
That is, 7/24 of the total distance is 140km,
Then the total distance is: 140 ÷ (7/24) = 480 (km).