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Quantitative Reasoning – Practice – Use LCM in Time and Work to simply calculation- Part 2!

PSA_LEVEL-UP_QNR11. Gabriel, Clare and Benet are working on a task in a paper factory. They take 12,15 and 18 days respectively to complete the task. If Gabriel started off with the task and worked for 5 days. Gabriel takes leave and Clare and Benet together start working on the rest of the task, when will the job be completed?

A. 105/22

B. 217/22

C. 215/22

D. None of these

Ans: Let us assume the task to be of 180 units [LCM of the numbers 12,15 and 18].

Gabriel’s one day work: 180/12 = 15 units

Clare’s one day work: 180/15 = 12 units

Benet’s one day work: 180/18 = 10 units

Gabriel started off and continued for 5 days.

Gabriel finished 5*15 = 75 units

Remaining units, 180-75= 105.

Clare’s and Benet’s one day work together : 12+10 = 22 units.

Time to finish 105 units= 105/22

Total time= 5 + 105/22 = 215/22 days. Option C.

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