Question 351005
Ornery and sly company has a contract to dig a tunnel though bald mountain.
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Crew A start at the west end and digs at 9 meters per day . Let X be the number of days Crew A has been digging .
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show rate, tme and distance each crew has dug.
distanceA = 9x meters
time = x days
rate = 9 meters per day 
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Crew B starts at the east end two days after Crew A and digs at 12 meters per day.
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show rate, tme and distance each crew has dug.
distanceB = 12(x-2) = 12x-24 meters
time = x-2 days
rate = 12 meters per day
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b. after how many days will the crews have dug the same distance?
Solve 9x = 12x-24
3x = 24
x = 8 days
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c. The total length of the tunnel is to be 2000 meters . write an equation stating this fact. Then solve the equation to find out how many days it takes to dig the tunnel from the time Crew A starts.
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Equation:
distanceA + distanceB = 2000
9x + 12x-24 = 2000
21x = 2024
x = 96.38 days
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Cheers,
Stan H.