### Quantitative Aptitude - Time and work

#### Question - 1

A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?

• A 5 days
• B 6 days
• C 8 days
• D 9 days

#### Question - 2

A can finish a work in 18 days and B can do the same twork in half the time taken by A. Then, working together, what part of the same work they can finish in a day?

• A $\frac {1}{6}$
• B $\frac {1}{9}$
• C $\frac {2}{5}$
• D $\frac {2}{7}$

#### Question - 3

A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?

• A $1\frac { 1 }{ 2 }$ minutes
• B $3\frac { 1 }{ 2 }$ minutes
• C $3\frac { 3 }{5 }$ minutes
• D $4\frac { 1 }{ 4 }$ minutes

#### Question - 4

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

• A $\frac { 1 }{ 24 } day$
• B $\frac {7 }{ 24 } day$
• C $3\frac { 3 }{ 7 } day$
• D 4 days

#### Question - 5

A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?

• A Less than 6 days
• B Exactly 6 days
• C Approximately 6.4 days
• D More than 10 days

#### Question - 6

A man can do a peice of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the can do it alone?

• A $6\frac { 1 }{ 2 }$ days
• B 7 days
• C $7\frac { 1 }{ 2 }$ days
• D 8 days

#### Question - 7

A can lay railwfay track betwenn two given station in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in:

• A $9\frac { 1 }{5 }$ days
• B $9\frac {2 }{5 }$days
• C $9\frac { 3}{ 5 }$ days
• D 10 days

#### Question - 8

A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

• A 4 days
• B 6 days
• C 8 days
• D 12 days

#### Question - 9

X can do $\frac { 1 }{ 4 }$ of work in 10 days, Y can do 40%  of the work in 40 days and Z can do $\frac { 1 }{ 3 }$ of the work in 13 days. Who will complete the work first?

• A X
• B Y
• C Z
• D X and Z both

#### Question - 10

P, Q and R are three typists who working simultaneously can type 216 pages in 4 hours. IN one hour, R can type as many pages more than Q asQ can type more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour?

• A 14, 17, 20
• B 15, 17, 22
• C 15, 18, 21
• D 16, 18, 22