Question
Lucas, Maya, and Riley can build a wall in 5, 10, and 15
days respectively. If they start the job together and Lucas leaves 3 days before the job is done, while Maya and Riley stay until the end, in how many days is the wall completed?Solution
Lucas, Maya, and Riley can build a wall in 5, 10, and 15 days respectively. LCM of 5,10,15 =30. Total work =30unit The efficiency of Lucas =30/5=6unit. The efficiency of Maya =30/10=3 units. The efficiency of Riley=30/15=2 unit. Suppose the work had not been left by Lucas and Maya. Extra work=6×3=18. total work =30+18=48. time taken =48/11 =4(4/11) days.
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