Latest GMAT Aptitude Question SOLUTION: Dr.sabbir and Eng. Ferdous can finish a certain job in 10 min and 15 min respectively. They started work together but after 2 min manum joined with them . It takes 2 min more to fi

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(#M40157869) GMAT Numerical Ability question Keep an EYE

Dr.sabbir and Eng. Ferdous can finish a certain job in 10 min and 15 min respectively. They started work together but after 2 min manum joined with them . It takes 2 min more to finish the job. If Mamun work alone how many minutes he needs to complete the job????

Asked In GMAT Nazmul Hasan Rasel (7 years ago)

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Devendra Marghade  (7 years ago)

6 minutes

*I think question should be when Mamum joins," it takes 2 min less to finish the job" (Because more men --> less time)

1 min. job of Sabbir and Ferdous= 1/10 + 1/15 = 1/6 => Sabbir and Ferdous can complete the job in 6 min. So their 2 min work= 2*1/6= 1/3
Let Mamun alone can finish the job in 'x' min.
After Sabbir and Ferdous's 2 min work, working together all three will complete the job in remaining 2 min (As it requires total 4 min i.e. 2 min less than the 6 min)
So 2 min's Sabbir and Ferdous's work + 2 min's Sabbir and Ferdous and Mamun work will complete the job. => 1/3 + 2*(1/6 + 1/x) = 1
=> 1/x = 1/6 or x=6

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Jyoti Ramdas Mate  (7 years ago)

Dr do work in 1 min=1/10
Engineer do work in 1 min=1/15
They work together for 2 min=((2/10)+(2/15))^-1=3
After 2min manum join them

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