If we assume that X,Y,Z,J,K are all given, then we can solve it without knowing P. (PaereaP saidias thisiht tooot
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Rate for A is 1/X ( he does 1/X of the job in a day) jobs/day
Rate for B is 1/Y jobs/day
Rate for C is 1/Z jobs/day
A works for J days: J/X jobs (days times jobs per day)
B works for K days: K/Y jobs
C works for Q days: Q/Z
They're going to do one job so
J/X+K/Y+Q/Z = 1 and we can solve for Q
If only J and K are known, there is not enough information to determine Q because we only have 2 equations and 4 unknowns.
If only X,Y and Z are given then there is not enough information to determine Q because we only have 2 equations and 3 unknowns.
Are you sure you didn't leave something out?