Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Three relnners cover a distance of
80cm.85cm and
90cm in every step. Find the least distance which will be covered by each runner in whole steps. Also, find the number of whole steps taken by each runner.

Three runners cover a distance of $80 \mathrm{~cm} ,85 \mathrm{~cm}$ and $90 \mathrm{~cm}$ in every step. Find the least distance which will be covered by each runner in whole steps. Also, find the number of whole steps taken by each runner.

View step-by-step help

View step-by-step help

Evaluate variable expressions: word problems

Full solution

Q. Three runners cover a distance of

80 \mathrm{~cm} ,85 \mathrm{~cm}

and

90 \mathrm{~cm}

in every step. Find the least distance which will be covered by each runner in whole steps. Also, find the number of whole steps taken by each runner.

Identify Distances: Step $1$ : Identify the distances covered by each runner in one step. $\newline$ The distances are $80\,\text{cm}$ , $85\,\text{cm}$ , and $90\,\text{cm}$ .
Calculate LCM: Step $2$ : Calculate the LCM of $80$ , $85$ , and $90$ . First, find the prime factors: $80 = 2^4 \times 5$ , $85 = 5 \times 17$ , $90 = 2 \times 3^2 \times 5$ . LCM = $2^4 \times 3^2 \times 5 \times 17 = 12240$ cm.
Determine Number of Steps: Step $3$ : Determine the number of whole steps each runner takes to cover the LCM distance. $\newline$ For the first runner ( $80$ cm per step): $12240 \div 80 = 153$ steps. $\newline$ For the second runner ( $85$ cm per step): $12240 \div 85 = 144$ steps. $\newline$ For the third runner ( $90$ cm per step): $12240 \div 90 = 136$ steps.

More problems from Evaluate variable expressions: word problems

Question

Evaluate the expression for

j = 7

\newline

2j =

Posted 2 months ago

Question

Evaluate the expression for

y = 4

z = 5

\newline

yz =

Posted 1 month ago

Question

Evaluate the expression for

t = 0

\newline

|-4 - t| =

Posted 2 months ago

Question

8

pictures. Belle drew

p

fewer pictures than Dale. Choose the expression that shows how many pictures Belle drew.

\newline

\newline

8

\newline

p - 8

\newline

8 + p

\newline

8 - p

Posted 2 months ago

Question

Write an expression for the sequence of operations described below. subtract

5

6

w

to the result Do not simplify any part of the expression. ______

Posted 2 months ago

Question

Write an expression for the operation described below.

\newline

4

a

\newline

Posted 2 months ago

Question

12

cookies. Alice baked

n

fewer cookies than John.

\newline

Choose the expression that shows how many cookies Alice baked.

\newline

\newline

12

\newline

n - 12

\newline

12 + n

\newline

12 - n

Posted 3 months ago

Question

15

books. Lucas read

b

fewer books than Emma. Choose the expression that shows how many books Lucas read.

\newline

\newline

15

\newline

b - 15

\newline

15 + b

\newline

15 - b

Posted 3 months ago

Question

10

miles. Sarah ran

m

fewer miles than Max. Choose the expression that shows how many miles Sarah ran.

\newline

\newline

(A)10

\newline

(B)m - 10

\newline

(C)10 + m

\newline

(D)10 - m

Posted 3 months ago

Question

20

poems. Fiona wrote

p

fewer poems than Carlos. Choose the expression that shows how many poems Fiona wrote.

\newline

\newline

20

\newline

p - 20

\newline

20 + p

\newline

20 - p

Posted 3 months ago