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Ankit and Bunty can complete a job in 10 days and 15 days respectively. Both of them started working together but after some time Ankit left the work and the whole work got completed in 9 days. Calculate after how much time Ankit left the work?

Ankit and Bunty can complete a job in 10 days and 15 days respectively. Both of them started working together but after some time Ankit left the work and the whole work got completed in 9 days. Calculate after how much time Ankit left the work? Correct Answer 4 days

Given:

Time taken by Ankit to complete the job = 10 days

Time taken by Bunty to complete the job = 5 days

Time taken by both to complete the job = 9 days

Formula Used:

Work Efficiency = (Total Work)/(Time taken to complete work)

Calculation:

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Here,

Total Work = (LCM of 15 & 10)

⇒ 30

So, Efficiency of Ankit = 30/10

⇒ 3

& Efficiency of Bunty = 30/15

⇒ 2

Observe that, Bunty is involved in the work from start to finish.

So, Amount of work done by Bunty in 9 days = Efficiency × Number of days

⇒ 2 × 9 

⇒ 18 

Now, Remaining work = Total work - Work done by Bunty 

⇒ 30 - 18

⇒ 12

This remaining work is done by Ankit before leaving the work.

So, Number of days after which Ankit left the work = (Remaining work)/(Ankit's efficiency)

⇒ 12/3

⇒ 4 days

∴ Ankit left the work after 4 days.

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