Ram finishes a work in 7 days. Rahim finish the same job

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Ram finishes a work in 7 days. Rahim finish the same job

Home » Aptitude » Time and Work » Question

Ram finishes a work in 7 days. Rahim finish the same job in 8 days and Robert in 6 days. They take turns to finish the work. Ram worked on the first day, Rahim on the second day and Robert on the third and then again Ram and so on. Who was working on the last day when work got finished ?

1. Ram
2. Rahim
3. Robert
4. Rahim and Robert

Correct Option: A

Three day work or Ram, Rahim and Robert = 1/7 + 1/8 + 1/6
= (24 + 21 + 28)/168 = 73/168

Their six days work = (2 x 73)/168 = 146/168 = 73/84

Now, its Ram's turn to work on seventh day.
∴ 73/84 + 1/7 = 73 + 12/84 = 85/84 > 1
So, Ram will finish the work before the end of day.
Hence, Ram is working for the last day.