the rate of work of Rehman I'd twice that of sohail . Rehman alone can do a piece of work in 32 days .sohail started the work and Rehman joined him after a few days . if the entire work was completed in 24 days ,for how many days did Rehman work along with sohail

Question : Kajal can do a piece of work alone in 24 days, while Neha can do the same work alone in 40 days. Kajal started the work alone, and then after 12 clays, Neha joined her till the completion of the work. How long did the work take to be completed since Kajal started to work on it?

Option 1: $\frac{37}{4}$ days

Option 2: $\frac{39}{2}$ days

Option 3: $\frac{37}{2}$ days

Option 4: $\frac{39}{4}$ days

Question : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?

Option 1: $\frac{24}{3}$ days

Option 2: $\frac{29}{3}$ days

Option 3: $\frac{32}{3}$ days

Option 4: 9 days

Question : A can do a piece of work in 16 days. B can do the same work in 24 days. A started the work alone. After how many days should B join him, so that the work is finished in 10 days?

Option 1: 6 days

Option 2: 2 days

Option 3: 5 days

Option 4: 1 day

Question : Mia and Ria can do a piece of work alone in 15 days and 10 days respectively. Mia started the work alone and then after 5 days, Ria joined her till the completion of the work. How long did the work last?

Option 1: 5 days

Option 2: 9 days

Option 3: 12 days

Option 4: 4 days

Question : A and B together can do a piece of work in 12 days. A alone can do it in 18 days. In how many days B alone can do the work?

Option 1: 36 days

Option 2: 24 days

Option 3: 32 days

Option 4: 30 days