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A, B and C can complete a task in 10, 15 and 18 days respectively. In how many days will all of them complete the same task working together?
Question

A, B and C can complete a task in 10, 15 and 18 days respectively. In how many days will all of them complete the same task working together?

A.

2

B.

92\frac{9}{2}​​

C.

9

D.

5125\frac{ 1}{2}​​

Correct option is B

Given:

A, B and C can complete a task in 10, 15 and 18 days
Solution:
First we take LCM of 10,15,18
LCM =90
so total work is 90 units
A work done in 1 day = 9010\frac{90}{10}​=9 units 


B work done in 1 day =    9015\frac{90}{15}​=6 units


Similarly ,C work done in 1 day = 9018\frac{90}{18}​   =5units
so A,B,C work done in one 1 day = 9+6+5=20 units
total work = 90units
work done by A,B,C together in = 9020=92\frac{90}{20}= \frac{9}{2} days ​

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