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lawyer [7]
2 years ago
6

Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road f

or 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?
Mathematics
1 answer:
Scilla [17]2 years ago
8 0

Answer:

5 days

Step-by-step explanation:

This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.

Let's say the time (in days) needed by the eleven workers is t,

5*20 = (3*10) + (14*t)

100 = 30+14t

70 = 14t

5 = t

It will take the eleven-workers 5 more days to finish the road.

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