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Acircular field has a circumference of
248 km,3 uylists starts together I can cycle
30,40 < 48km a day. Round thefields when will they meetagain. Ti2odays.

Acircular field has a circumference of $248 k m, 3$ uylists starts together I can cycle $30,40<48 \mathrm{~km}$ a day. Round thefields when will they meetagain. Ti $2$ odays.

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Weighted averages: word problems

Full solution

Q. Acircular field has a circumference of

248 k m, 3

uylists starts together I can cycle

30,40<48 \mathrm{~km}

a day. Round thefields when will they meetagain. Ti

2

odays.

Calculate Radius: Calculate the radius of the circular field using the circumference. $\newline$ Circumference = $2\pi r$ $\newline$ $248 = 2\pi r$ $\newline$ $r = \frac{248}{2\pi}$ $\newline$ $r \approx 39.5$ km
Determine Time: Determine the time it takes for each cyclist to complete one round. $\newline$ Time = Circumference / Speed $\newline$ Time for cyclist $1$ ( $30$ km/day): $248 / 30 \approx 8.27$ days $\newline$ Time for cyclist $2$ ( $40$ km/day): $248 / 40 \approx 6.2$ days $\newline$ Time for cyclist $3$ ( $48$ km/day): $248 / 48 \approx 5.17$ days
Find LCM: Find the least common multiple (LCM) of the times to determine when all cyclists will meet. $\newline$ LCM of $8.27$ , $6.2$ , and $5.17$ days. $\newline$ Approximate to nearest whole numbers: $8$ , $6$ , and $5$ days. $\newline$ LCM $(8, 6, 5) = 120$ days

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