- Joined
- Jun 15, 2011
- Messages
- 91
- Reaction score
- 0
For the 2010 Math Destroyer the question asks:
Two work crews, Crew A and B start digging a 300-foot tunnel through a mountain, but working toward each other from opposite sides. If Crew A digs at a rate of 12 ft per day and Crew B digs 18 feet per day how many feet will crew A have dug when the two crews meet.
I solved it like this:
Since Crew A works at a rate of 12 ft/ 1 day and Crew B works 18 ft / 1 day then the two work at a rate of 30 ft / 1 day. Therefore, it takes them 10 days to complete (because 10 days x 30 ft / 1 day = 300 ft). So that means 10 x 12 ft per day = 120 feet for Crew A.
However, the answer in the solution is 180 ft which would be Crew B....
What gives????
Two work crews, Crew A and B start digging a 300-foot tunnel through a mountain, but working toward each other from opposite sides. If Crew A digs at a rate of 12 ft per day and Crew B digs 18 feet per day how many feet will crew A have dug when the two crews meet.
I solved it like this:
Since Crew A works at a rate of 12 ft/ 1 day and Crew B works 18 ft / 1 day then the two work at a rate of 30 ft / 1 day. Therefore, it takes them 10 days to complete (because 10 days x 30 ft / 1 day = 300 ft). So that means 10 x 12 ft per day = 120 feet for Crew A.
However, the answer in the solution is 180 ft which would be Crew B....
What gives????