Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many meters more than the second as the second digs more than the first. The third digger's work in 10 days is equal to the first digger's work in 14 days. How many meters does the first digger dig per shift?
A. 15
B. 18
C. 21
D. 27
Answer: Option A
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One days work =324/6=54 meters
Now say first digs x and second digs y meters more then
x+x+y +x+2y=54 or x+y=18
And
10*(x+2y)=14x
x=5y
So x=15 meters.