Seema,Meena,and Reena start jogging around a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To find when they will meet again at the starting point,we need to calculate the Least Common Multiple $(LCM)$ of the time taken by each person to

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(D) To find when they will meet again at the starting point,we need to calculate the Least Common Multiple $(LCM)$ of the time taken by each person to complete one round.The times are $54 	ext{ seconds}$,$42 	ext{ seconds}$,and $63 	ext{ seconds}$.Prime factorization:$54 = 2 	imes 3^3$$42 = 2 	imes 3 	imes 7$$63 = 3^2 	imes 7$$LCM = 2 	imes 3^3 	imes 7 = 2 	imes 27 	imes 7 = 378 	ext{ seconds}$.To convert seconds into minutes,divide by $60$:$\frac{378}{60} = 6.3 	ext{ minutes}$.Rounding to the nearest whole number,they will meet after approximately $6 	ext{ minutes}$.

Seema,Meena,and Reena start jogging around a circular stadium and complete one round in $54 \text{ seconds}$,$42 \text{ seconds}$,and $63 \text{ seconds}$ respectively. Approximately after how many minutes will they meet again at the starting point?

Similar Questions

The $L.C.M.$ of two numbers is $120$ and their $H.C.F.$ is $10.$ Which of the following can be the sum of those two numbers?

Find the least number of five digits which when divided by $8, 12, 16$ and $20$ leaves remainders $1, 5, 9$ and $13$ respectively.

Find the largest number of four digits exactly divisible by $14, 24, 27$ and $32$.

Find the highest common factor of $36$ and $84.$

Find the greatest number that will divide $43, 91$ and $183$ so as to leave the same remainder in each case.

Vedclass Test Series

Exam Paper Generator

Online Exam Module