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15 people can build 60 metres of track per day.Work out how many days it will take 45 people to build the whole track

Question

15 people can build 60 metres of track per day.

Work out how many days it will take 45 people to build the whole track.

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Solution

To solve this problem, we first need to determine the rate at which one person can build the track per day.

Step 1: Find the rate of one person We know that 15 people can build 60 metres of track per day. So, the rate of one person is 60 metres / 15 people = 4 metres/person/day.

Step 2: Find the rate of 45 people If one person can build 4 metres of track per day, then 45 people can build 45 people * 4 metres/person/day = 180 metres/day.

Step 3: Find the number of days to build the whole track If we assume that the whole track is 60 metres (as given in the problem), then the number of days it will take 45 people to build the whole track is 60 metres / 180 metres/day = 1/3 day.

So, it will take 45 people 1/3 of a day to build the whole track.

This problem has been solved

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