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David ran on a straight track. Every time he ran 480 m, he took a break. After 2 breaks, he still had to run 120 m to complete the track. If the track was twice as long as the playground, what is the distance of the playground?

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opudodennis

Answer:

540m

Step-by-step explanation:

The distance of the track is is equal to the playground's distance.

-The total distance covered is obtained by summing 120 and the distance per break by the total number of breaks:

[tex]d=480\times 2+120\\\\=1080\ m[/tex]

-The distance of the playground half the track's distance:

[tex]d_p=0.5d_t\\\\=0.5\times 1080\\\\=540\ m[/tex]

Hence, the distance of the playground is 540m

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