Tram lines

Trams of five lines driven at intervals of 5,8,10,12 and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times have earch tram pass for this stop?

Result

t =  2 h
a =  24
b =  15
c =  12
d =  10
e =  8

Solution:

$5 \ ... \ prime number \ \\ 8=2^3 \ \\ 10=2 \cdot 5 \ \\ 12=2^2 \cdot 3 \ \\ 15=3 \cdot 5 \ \\ LCM(5, 8, 10, 12, 15)=2^3 \cdot 3 \cdot 5=120 \ \\ \ \\ m=LCM(5,8,10,12,15)=120 \ \\ t=m / 60=120 / 60=2 \ \text{h}$
$a=m/5=120/5=24$
$b=m/8=120/8=15$
$c=m/10=120/10=12$
$d=m/12=120/12=10$
$e=m/15=120/15=8$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Do you want to convert time units like minutes to seconds?

Next similar math problems:

1. Bus lines
Buses connections are started from bus stop on its regular circuit as follows: No. 27 bus every 27 minutes and No.18 every half hour. What time started this two bus lines run if the bus stop met at 10:15 am.?
2. Pills
If it takes 20 minutes to run a batch of 100 pills how many minutes would it take to run a batch of 50 pills
3. Lcm simple
Find least common multiple of this two numbers: 140 175.
4. Temperature increase
If the temperature at 9:am is 50 degrees. What is the temperature at 5:00pm if the temperature increases 4 degrees Fahrenheit each hour?
5. Timeage
Seven times of my age is 8 less than the largest two-digit number. How old I am?
6. Bed time
Tiffany was 5 years old; her week night bedtime grew by ¼ hour each year. If, at age 18, her curfew time is 11pm, what was her bed time when she was 5 years old?
7. Balls groups
Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?
8. Chocolate
I eat 24 chocolate in 10 days. How many chocolate I eat in 15 days at the same pace?
9. How old
The student who asked how many years he answered: "After 10 years I will be twice as old than as I was four years ago. How old is student?
10. The diagram
The diagram is a cone of radius 8cm and height 10cm. The diameter of the base is. ..
11. Unknown number 11
That number increased by three equals three times itself?
12. Norm
Three workers planted 3555 seedlings of tomatoes in one dey. First worked at the standard norm, the second planted 120 seedlings more and the third 135 seedlings more than the first worker. How many seedlings were standard norm?
13. Street numbers
Lada came to aunt. On the way he noticed that the houses on the left side of the street have odd numbers on the right side and even numbers. The street where he lives aunt, there are 5 houses with an even number, which contains at least one digit number 6
14. Passenger boat
Two-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there?
15. Round it
0.728 round to units, tenths, hundredths.
16. Cupcakes 2
Susi has 25 cupcakes. She gives 4/5. How much does she have left?
17. Write 2
Write 791 thousandths as fraction in expanded form.