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A circular field has a circumference of
240km,3 cyclists start together and can aycle 30,40 and 48
1km a day. Round the field's when will the meet again

A circular field has a circumference of $240 \mathrm{~km}, 3$ cyclists start together and can aycle $30$ , $40$ and $48$ $1 \mathrm{~km}$ a day. Round the field's when will the meet again

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A circular field has a circumference of

240 \mathrm{~km}, 3

cyclists start together and can aycle

30

,

40

and

48

1 \mathrm{~km}

a day. Round the field's when will the meet again

Calculate Time for Each Cyclist: Calculate the time it takes for each cyclist to complete one lap around the field. $\newline$ - Cyclist A: $240 \, \text{km} / 30 \, \text{km/day} = 8 \, \text{days}$ $\newline$ - Cyclist B: $240 \, \text{km} / 40 \, \text{km/day} = 6 \, \text{days}$ $\newline$ - Cyclist C: $240 \, \text{km} / 48 \, \text{km/day} = 5 \, \text{days}$
Find Least Common Multiple: Find the least common multiple (LCM) of the times to determine when all cyclists will meet at the starting point. $\newline$ - LCM of $8$ , $6$ , and $5$ is $120$ days.

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