Latest Book Aptitude Question SOLUTION: B is twice as fast as A and C is twice as fast as B. If A alone can complete the job in 24 days, how many days will A, B and C take to complete the job working together?

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B is twice as fast as A and C is twice as fast as B. If A alone can complete the job in 24 days, how many days will A, B and C take to complete the job working together?

Asked In Book Vignesh (12 years ago)

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Aman  (12 years ago)

4 days

B is twice as fast as A and C is twice as fast as B.
If C takes x days to complete the job alone,
B will take 2x days and A will take 4x days.
If A alone can complete the job in 24 days,
so 4x = 24
x= 6
so C will take 6 days and B will take 12 days when working alone.
One day work of B and C together = 1/6 + 1/12 = 3/12 = 1/4
when B and C work together, they will take 4 days.

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Pargat Pal Singh  (12 years ago)

4 days

B is twice as fast as A and C is twice as fast as B.
If C takes x days to complete the job alone,
B will take 2x days and A will take 4x days.
If A alone can complete the job in 24 days,
so 4x = 24
x= 6
so C will take 6 days and B will take 12 days when working alone.

when B and C work together, they will take 1/(1/6+1/12) = 12/3= 4 days.

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Devendra Marghade  (12 years ago)

24/7 Days
A's 1 day job=1/24
B's 1 day job=2/24=1/12
C's 1 day job=4/24=1/6
If A,B & C works together,their 1 day job=1/24+1/12+1/6=7/24
Therefore days to complete the job if A,B & C works together=24/7

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