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Time and Work 1/1

1.  $A$ can do a piece of work in $10$ days while $B$ can do it in $15$ days. In how many days can $A$ and $B$ working together do it ?
a. 25 days
b. 12.5 days
c. 9 days
d. 6 days


2.  A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in :
a. $15\displaystyle\frac{2}{3}$ days
b. 24 days
c. 30 days
d. 40 days


3.  A can do $\left( {\displaystyle\frac{1}{3}} \right)$ of a work in 5 days and B can do $\left( {\displaystyle\frac{2}{5}} \right)$ of the work in 10 days. In how many days both A and B together can do the work ?
a. $7\displaystyle\frac{3}{4}$
b. $8\displaystyle\frac{4}{5}$
c. $9\displaystyle\frac{3}{8}$
d. 10


4.  A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it ?
a. 30 days
b. 40 days
c. 45 days
d. 60 days


5.  A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get :
a. Rs.30
b. Rs.37.50
c. Rs.45
d. Rs.50


6.  A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is :
a. 6
b. $6\displaystyle\frac{1}{4}$
c. $7\displaystyle\frac{1}{2}$
d. 8