A 15-person road crew is scheduled to finish repairing a highway in 12 days. On the morning of the fifth day, several new workers join the crew and, together, they complete the remaining repairs in 6 days. How many new workers were brought in to join the crew

Answer: 5

Step-by-step explanation

(15+x) * 6 is supposed to equal 120.

We know that 6*20=120

So x=5

30 new workers were brought in to join the crew

Step-by-step explanation:

1 situation

15*12=x (x is the full work)

2 situation

3*15+3*y=x

15*12=3*15+3*y

180=45+3*y

3y=180-45

3y=135

y = 135/3=45

y include the 15 person road crew that works from the beginning.

So, the new workers are 30. (45-30)