Trees in alley

There are four trees in the alley between which the distances are 35m, 15m and 95m. Trees must be laid in the spaces so that the distance is the same and the maximum. How many trees will they put in and what will be the distance between them?

Correct answer:

n =  27
x =  5 m

Step-by-step explanation:

35=57 15=35 95=519 GCD(35,15,95)=5  x=GCD(35,15,95)=5 m s=35+15+95=145 m  n0=s/x+1=145/5+1=30  n=n03=303=27
x=5 m



Did you find an error or inaccuracy? Feel free to write us. Thank you!






avatar




Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Do you want to calculate greatest common divisor two or more numbers?
Do you want to convert length units?
Do you want to perform natural numbers division - find the quotient and remainder?

Related math problems and questions:

  • Four poplars
    topolcany Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be?
  • Garden
    zahon The garden has the shape of a rectangle measuring 19m20cm and 21m60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent p
  • On Children's
    bonbons On Children's Day, the organizers bought 252 chewing gums, 396 candies and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way.
  • Groups
    children2 In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?
  • Around the flowerbed
    roses Around a rectangular flowerbed with dimensions 5.25 m and 3.5 m are to be planted roses equally spaced so that the roses found in every corner of the flowerbed and consumed them as little as possible. a) At what distance are planted roses? b) How many ros
  • Apples and pears
    hrusky2 Mom divided 24 apples and 15 pears to children. Each child received the same number of apples and pears - same number as his siblings. How many apples (j=?) and pears (h=?) received each child?
  • MO C–I–1 2018
    numbers An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
  • School year
    zosity At the beginning of the school year, 396 notebooks and 252 textbooks are ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that th
  • Blades
    ruler2 1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece?
  • Florist
    kvetinarka Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses?
  • Rectangular flowerbed
    zahon Around the rectangular flowerbed with dimensions of 5.25 m and 3.50 m, roses should be planted at the same distance from each other so that the roses are located in each corner of the flower bed and are consumed as little as possible. How far do we plant
  • Decompose
    cinema Decompose into primes and find the smallest common multiple n of (16,20) and the largest common divisor D of the pair of numbers (140,100)
  • Lcm of three numbers
    prime What is the Lcm of 120 15 and 5
  • Glass panel
    glass A rectangular glass panel with dimensions of 72 cm and 96 cm will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut?
  • LCM
    calc_icon What is the least common multiple of 5, 50, 14?
  • LCD 2
    zlomky The least common denominator of 2/5, 1/2, and 3/4
  • Common divisors
    prime Find all common divisors of numbers 30 and 45.