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QUESTION
Q
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how...

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remainining work ?

A

5½

B

8

C

7

D

5

E

6

A

5½

B

8

C

7

D

5

E

6

Solution

Given B can complete the work in 15 days⇒ B does 1/15th of work in one day⇒ in 10 days B completes...

Given B can complete the work in 15 days
⇒ B does 1/15th of work in one day
⇒ in 10 days B completes 10 Ã— 1/15 = 2/3rd work
A can complete the work in 18 days
⇒ A alone can finish remaining 1/3rd work in 18 × 1/3 = 6 days

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