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Check my work, before you hand it in -- there could be some DELIBERATE errors in my fractions. :-)
Marie takes 100 minutes for 1 job.
Marie took 50 minutes for 1/2 job.
Ann takes 120 minutes for 1 job.
Ann took 30 minutes and did 1/4 job.
Ann took 20 more minutes and did 1/6 job.
Together Marie & Ann did 1/2 plus 1/4 plus 1/6 job in 50 minutes.
Together Marie & Ann did 6/12 plus 3/12 plus 2/12 job in 50 minutes.
Together Marie & Ann did 11/12 job in 50 minutes.
Liu did the rest (1-(1/2+1/4+1/6)) job in 20 minutes.
Liu did the rest (1-(4+3+2)/12) job in 20 minutes.
Liu did the rest (1-9/12) in 20 minutes.
Liu did the rest (1/4) in 20 minutes.
Liu worked for 5 minutes.