Question : A works 5.4 times as fast as B and A takes 22 days less than B to complete the job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

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

Option 2: $4 \frac{3}{16}$

Option 3: $4 \frac{7}{32}$

Option 4: $4 \frac{5}{32}$

Question : A works 3.5 times as fast as B, and A takes 45 days less than B to complete a job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

Option 1: 10.5

Option 2: 17.5

Option 3: 21

Option 4: 14

Question : A, B, and C working alone, can complete a job in 16, 24, and 36 days, respectively. In how many days can they complete the job if they work together?

Option 1: $7 \frac{11}{19}$

Option 2: $5 \frac{17}{19}$

Option 3: $4 \frac{13}{19}$

Option 4: $6 \frac{7}{19}$

Question : A can complete a piece of work in 14 days, while A and B together can complete it in $3\frac{1}{2}$ days. How long will B alone take to complete it?

Option 1: $4$ days

Option 2: $5$ days

Option 3: $\frac{3}{14}$ days

Option 4: $\frac{14}{3}$ days

Question : A is 40% more efficient than B. How much time will they take to work together to complete a job which A alone could have done in 31 days?

Option 1: $\frac{217}{12}\ \text{days}$

Option 2: $\frac{515}{32}\ \text{days}$

Option 3: $\frac{215}{12}\ \text{days}$

Option 4: $\frac{517}{32}\ \text{days}$

Question : $x$ does $\frac{1}{4}$ of a job in 6 days. $y$ completes the rest of the job in 12 days. Then $x$ and $y$ could complete the job together in:

Option 1: $9$ days

Option 2: $9\frac{3}{5}$ days

Option 3: $8\frac{1}{8}$ days

Option 4: $7\frac{1}{3}$ days