four
How many minutes does it take for two people to run once a minute?
The answer is that two people each run a lap.
six
Tiny sum
12
Minutes.
Solution:
600
÷
12=50
, indicating the speed difference between brother and brother.
600
÷
4= 150
, my brother said, my brother's speed and.
(
50+ 150
)
÷
2= 100
, which represents faster speed by summing larger numbers in the difference problem.
(
150-50
)
/2=50
It represents a slower speed by summing the smaller numbers in the difference problem.
600
÷
100=6
Minutes, which means the time spent by the fastest runner.
600/50= 12
Minutes, which means the time spent by slow runners.
four
. Local conductor
125
Meters, speed per second.
17
M, conductor of the express train
140
Meters, speed per second.
22
M, the local train is ahead, and the express train.
Catch up from behind, then, how long does it take for the express train to catch up with the rear of the local train and completely surpass the local train?
The answer is
53
second
The formula is (
140+ 125)
÷
(22- 17)=53
second
It can be understood as follows:
"
The express train goes from catching up with the rear of the local train to completely overtaking the local train.
"
That is, the point at the rear of the express train catches up with the point at the front of the slow train.
Therefore, the distance to catch up should be the sum of the two captains.
five
. exist
300
On the one-meter-long circular runway, Party A and Party B set off side by side in the same direction at the same time, and the average speed of Party A is per second.
five
Average speed of meters and b
It's every second
4.4
M, how many meters before the starting line did they meet for the first time after starting?
The answer is
100
rice
300
÷
(
5-4.4
)=
500
Seconds, indicating the catch-up time.
five
×
500
=
2500
Meter, which means the distance traveled when A catches up with B.
2500
÷
300
=
eight
circle
……
100
Meters, indicating the total distance of chasing.
eight
There are more circles.
100
The meter is in front of the original starting line.
100
rice
Meet each other late.
six
A man was passing by the railway when he heard the train whistle in the distance.
57
The second train passed in front of her, and the train whistled.
Stay away from him.
1360
Rice,
(
The track is straight.
),
Sound travels every second.
340
Meter, find the speed of the train (get the reserved integer)
The answer is
22
rice
/
second
& lt/b & gt； & lt/b & gt； Formula:
1360
÷
( 1360
÷
340+57
)
≈
22
rice
/
second
Key understanding: after hearing the sound,
57
It takes only two seconds for the car to arrive, which means that when people hear the sound, the car has left from the place where the sound was made.
1360
÷
340
=
four
After a few seconds. namely
1360
M * * * used it.
4+57
=
6 1
second
seven
The hound found himself leaving it.
10
There is a running hare in front of the meter.
Go after him immediately. The hound has a big step. It ran away.
five
brick by brick
Distance, the rabbit wants to run
nine
One step, but the rabbit runs fast and the hound runs away.
2
Rabbits can run while walking.
three
Step, ask the hound how much to run at least.
Rice can catch up with rabbits.
The correct answer is that hounds can at least run.
60
We can catch up with the meal.
Solution:
pass by
"
Hound race
five
Walking distance, the rabbit wants to run
nine
step
"
You know every step of the hound.
a
Rice, every step the rabbit takes.
5/9
rice. pass by
"
Hound race
2
Step time
Suddenly, the rabbit will run away.
three
step
"
Meanwhile, the hounds ran away.
2a
Mimi, rabbits can run.
5/9a*3
=
5/3a
rice. So we can know that hounds and rabbits
The child's speed ratio is
2a
5/3a
=
six
five
That is to say, when the hounds are running.
60
When eating rice, rabbits can run.
50
Rice, the original difference.
10
Mi Zhenghao
Complete the chase
eight
.
ab blood type
Two places
,
The ratio of the time required for Party A and Party B to complete cycling is
4:5,
If Party A and Party B start from the same time respectively
ab blood type
Two stages
Practice on ...
,40
A few minutes later, the two met.
,
After meeting, they moved on.
,
So, B is here.
A
Di Beijia has arrived.
B
How many minutes will it be late?
Answer:
18
minute
Solution: Let the whole process go with the flow.
1,
The speed is
x
B's speed is
y
Column type
40x+40y= 1
x:y=5:4
get
x= 1/72 y= 1/90
It is necessary to walk the whole course.
Seventy two
minute
,
Yishu
90
minute
So get the solution.
nine
. The cars of Party A and Party B come at the same time.
ab blood type
These two places are relatively open. After the first encounter, the two cars continued to drive and set off immediately after reaching each other's starting point.
Return. The second time we met.
B
The distance from the ground is
ab blood type
Full time
1/5
. As we all know, a car did it at the first meeting.
120
kilometre (km)
ab blood type
How many kilometers are the two places apart?
The answer is
300
kilometre (km)
Solution: By drawing a line diagram, we can know that two people will do it when they meet for the first time.
1
individual
ab blood type
Distance, from the beginning to the second meeting, one
& lt/b & gt； & lt/b & gt； * * * again.
three
individual
ab blood type
Distance, you can calculate the distance between A and B * * * respectively. This is the first time they have seen each other.
Cheng's
three
Time magazine. In other words, the distance a * * walks is
120*3
=
360
Kilometers, as can be seen from the line chart, a * * * has completed the whole journey (
1+ 1/5
)
therefore
360
÷
(
1+ 1/5
)=
300
kilometre (km)
from
A
Didao
B
On the ground, A and B need to ride bicycles respectively.
four
Hours,
six
Hours, now it is Party A and Party B respectively.
ab blood type
Two places start at the same time
Walking in the same direction, the time interval of the meeting
ab blood type
The midpoint between the two places.
2
Kilometers if two people go.
B
Grounding,
A
Turn back immediately after landing. Second rendezvous point
There are () kilometers between the first meeting points.
10
.
A ship goes back and forth between two places at the same speed,
It needs downstream.
six
hour
adverse current
eight
hour
If the speed of water flow is per hour
2
Kilometers,
Find the distance between the two places?
Solution:
(
1/6- 1/8
)
÷
2
=
1/48
Represents the fraction of water velocity.
2
÷
1/48
=
96
Kilometers represent the total distance.
1 1
The express train and the local train leave from two places at the same time, and the express train runs every hour.
33
Kilometers, the meeting is four-seventh of the whole journey,
It is known that the local train needs to complete the journey.
eight
Hours, find out the distance between Party A and Party B. ..
Solution:
The meeting is four-sevenths of the whole journey, which means that the speed ratio between Party A and Party B is
four
three
Time ratio
three
four
So the whole time of the express train is
8/4*3
=
six
hour
6*33
=
198
kilometre (km)
12
.
Xiaohua goes from a to B.
,3
Divide it
1
Ride a bike
,3
Divide it
2
by car
Return from b to a.
,5
Divide it
three
Ride a bike
,5
Divide it
2
by car
,
The result is slow.
Half an hour
.
known
,
Ride a bike every hour.
12
kilometre (km)
,
Ride once an hour
30
kilometre (km)
,
ask
：
How many kilometers is it between A and B?
Solution:
Think of distance as
1
, get the time coefficient.
Departure time coefficient:
1/3
÷
12+2/3
÷
30
Return time coefficient:
3/5
÷
12+2/5
÷
30
The difference between the two:
(
3/5
÷
12+2/5
÷
30
)
-
(
1/3
÷
12+2/3
÷
30
)
= 1/75
be qualified for sth
1/2
hour
Departure time:
1/2
×
(
1/3
÷
12
)
÷
1/75
and
1/2
×
(
2/3
÷
30
)
1/75
& lt/b & gt； & lt/b & gt； Distance:
12
×
〔
1/2
×
(
1/3
÷
12
)
÷
1/75
〕
+30
×
〔
1/2
×
(
2/3
÷
30
)
1/75
〕
=37.5
(km)
Eight. balanced
1
.
A and B are fishing by the river.
,
One catches three.
,
B caught two.
,
Just about to eat
,
A man asked to have dinner with them.
,
So these three people will
The five fish were divided equally.
,
As a token of gratitude
,
Passers-by stay
10
Yuan dynasty (1206- 1368)
,
How to divide a and b? quickly
Answer: a.
eight
Yuanwan
2
Yuan.
Solution:
"
Three people divide the five fish equally and the guests take them out.
10
Yuan dynasty (1206- 1368)
"
It can be understood that the total value of five fish is
30
Yuan, then the value of each fish.
six
Yuan.
because
"
One catches three.
"
, which is equivalent to A voting before eating.
3*6
=
18
Yuan,
"
B caught two.
"
, equivalent to the one before B ate.
fund
2*6
=
12
Yuan.
And the value of both sides eating is
10
Yuan, so
A can still be restored
18- 10
=
eight
Yuan dynasty (1206- 1368)
B can still take it back
12- 10
=
2
Yuan dynasty (1206- 1368)
It happened to be the money paid by the guests.
2
The cost of a commodity this year is higher than last year.
10
Divide it
1
, but still maintain the original price, as a result, the profit per share fell.
five
Divide it
2
So, what is the cost of this commodity this year?
answer
22/25
Thinking about the best line drawing;
Think of last year's original cost as
20
Share, profit is
five
First, the cost of this year.
1/ 10
, that is
22
Profits have fallen.
2/5
, today
The annual profit is only
three
Share it. Cost increase
2
Share is just a decline in profits.
2
Share it. Price is everything.
25
Share it.
Therefore, this year's cost accounts for% of the sales price.
22/25
three
.
Two cars, A and B respectively.
A.B
Starting from two places
,
Go in the opposite direction
,
At departure time
,
first
.
The speed ratio of b is
5:4,
After meeting.
,
Armor speed reduced.
20%,
B's speed increases.
20%,
such
,
When the armored troops arrived.
B
Earth time
,
Erie
A
Diyou
10
kilometre (km)
,
therefore
A.B
How many kilometers are the two places apart?
Solution:
Yuanlijia
.
The speed ratio of b is
5:4
Now answer:
five
×
(
1-20
%)=
four
Now b:
four
×
(
1+20
%)
4.8
& lt/b & gt； & lt/b & gt； narrow lane
B
After leaving, leave B.
A
And:
5-4.8
=
0.2
Total distance:
10
÷
0.2
×
(
4+5
)=
450
kilometre (km)
four
The circumference of the bottom surface of the cylinder decreases.
25%
, to increase the volume.
1/3
What is the ratio of the present height to the original height?
The answer is
64
27
Solution:
according to
"
Circumference reduction
25
%
"
The circumference is the original.
3/4
Then the radius is the same.
3/4
This area is primitive.
9/ 16
according to
"
Volume gain
1/3
"
, the volume is the original.
4/3
roll
÷
Bottom area = height
What is the current altitude
4/3
÷
9/ 16
=
64/27
In other words, the current height is the original height.
64/27
Or current height: original height =
64/27
1
=
64
27
five
There are four kinds of fruits, bananas, apples, oranges and pears, among which oranges and apples * * *
30
Tons of bananas, oranges and pears
45
Tons. orange
Children just make up the total.
13
Divide it
2
. How many tons of fruit did a * * * transport?
Question 2: The answer is
65
many
tangerine
+
Apple =
30
many
banana
+
tangerine
+
Pear =
45
many
So oranges
+
apple
+
banana
+
tangerine
+
Pear =
75
many
tangerine
÷
(Banana
+
apple
+
tangerine
+
Pear) =
2/ 13
Description: Oranges are
2
Banana portion
+
apple
+
tangerine
+
Pear islands
13
share
tangerine
+
banana
+
apple
+
tangerine
+
Pear flower is a * * *
2+ 13
=
15
share
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