Question

Ali and Shiv are bike mechanics. They can assemble a bike in 24 and 18 days respectively. They began the work together but after some time Ali's father got sick and he left the work. Then, Shiv completed the remaining work in 11 days. Calculate that after how many days did Ali leave?
1. 1o days
2. 2 days
3. 13 days
4. 4 days

Answer 1

Correct Answer - Option 4 : 4 days

Given ∶

Ali can complete his task in 24 days

Shiv can complete the task in 18 days

Remaining work completed by shiv in 11 days.

Formula Used∶

Use of the concept of 'Ratio' in 'Time and Work'.

Calculation∶

Ali does the work in 24 days

Shiv does the work in 1 days = 1/24

Shiv does the work in 18 days

Shiv does the work in 1 day = 1/18

After Ali leave, Shiv completes the remaining work in 11 days

i.e. Shiv's part of work in 11 days = 11/18

Remaining work = 1 - 11/18 = 7/18

Remaining work 7/18 is done by Ali and Shiv together in x days.

⇒ (x/24) + (x/18) = 7/18

⇒ 7x/72 = 7/18

⇒ x = 4

∴ Ali leaves after 4 days.