A contractor hire Amitabh Arora to complete the work and Amitabh can do the work in 25 days Amitabh ...........

Quant (SSC) Percentage

A contractor hire Amitabh Arora to complete the work and Amitabh can do the work in 25 days. Amitabh worked for 5 days and after that Bindu singh completed it in 20 days. In how many days will Amitabh and Bindu together finish the work?

25/2 days

25 days

15 days

None of these

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Explanation:

Amitabh can do a piece of work in 25 days.
In 5 days he can do 1/5th work.
Rest work = 1 - 1/5 = 4/5
Bindu can complete 4/5th of the work in 20 days so he can do the complete work in 25 days.
Amitabh's 1 day work = 1/25
Bindu's 1 day work = 1/25
(Amitabh and Bindu)'s 1 day work = 1/25 + 1/25 = 2/25
Amitabh and Bindu together can complete the work in = 25/2 days