## RS Aggarwal Class 8 Solutions Chapter 13 Time and Work Ex 13A

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 13 Time and Work Ex 13A.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 13 Time and Work Ex 13A
- RS Aggarwal Solutions Class 8 Chapter 13 Time and Work Ex 13B

**Question 1.**

**Solution:**

Rajan’s one day’s work = \(\\ \frac { 1 }{ 24 } \)

Amit’s one day’s work = \(\\ \frac { 1 }{ 30 } \)

**Question 2.**

**Solution:**

Ravi’s one hours = \(\\ \frac { 1 }{ 15 } \)

Both’s one day’s work = \(\\ \frac { 1 }{ 12 } \)

or 6 hours, 40 minutes.

**Question 3.**

**Solution:**

A and B both’s one day’s work = \(\\ \frac { 1 }{ 6 } \)

A’s alone’s one day’s work = \(\\ \frac { 1 }{ 9 } \)

**Question 4.**

**Solution:**

Raju and Siraj’s 1 hour work = \(\\ \frac { 1 }{ 6 } \)

Raju’s alone 1 hour work = \(\\ \frac { 1 }{ 15 } \)

**Question 5.**

**Solution:**

A’s one day’s work = \(\\ \frac { 1}{ 10 } \)

B’s one day’s work = \(\\ \frac { 1 }{ 12 } \)

**Question 6.**

**Solution:**

A’s 1 hour work = \(\\ \frac { 1 }{ 24 } \)

B’s 1 hour work = \(\\ \frac { 1 }{ 16 } \)

**Question 7.**

**Solution:**

A,B and C’s 1 hr work = \(\\ \frac { 1 }{ 8 } \)

A’s 1 hour work = \(\\ \frac { 1 }{ 20 } \)

B’s 1 hour work = \(\\ \frac { 1 }{ 24 } \)

**Question 8.**

**Solution:**

A’s one day’s work = \(\\ \frac { 1 }{ 16 } \)

B’s one days work = \(\\ \frac { 1 }{ 12 } \)

**Question 9.**

**Solution:**

A’s 1 day’s work = \(\\ \frac { 1 }{ 14 } \)

B’s 1 day’s work = \(\\ \frac { 1 }{ 21 } \)

**Question 10.**

**Solution:**

A can do \(\\ \frac { 2 }{ 3 } \) work in = 16 days

A’s 1 days work = \(\\ \frac { 2 }{ 3 } \) x \(\\ \frac { 1 }{ 16 } \) = \(\\ \frac { 1 }{ 24 } \)

**Question 11.**

**Solution:**

A’s one day’s work = \(\\ \frac { 1 }{ 15 } \)

B’s one day’s work = \(\\ \frac { 1 }{ 12 } \)

**Question 12.**

**Solution:**

A and B’s one day’s work = \(\\ \frac { 1 }{ 18 } \)

B and C’s one day’s work = \(\\ \frac { 1 }{ 24 } \)

A, B and C’s one days work = \(\frac { 1 }{ 2\times 2 } \)

= \(\\ \frac { 1 }{ 16 } \)

A, B and C can do the work in 16 days.

**Question 13.**

**Solution:**

A and B’s one days work = \(\\ \frac { 1 }{ 12 } \)

B and C’s one day’s work = \(\\ \frac { 1 }{ 15 } \)

**Question 14.**

**Solution:**

A’s one hr work =\(\\ \frac { 1 }{ 10 } \)

B’s one hr work = \(\\ \frac { 1 }{ 15 } \)

**Question 15.**

**Solution:**

Pipe A’s one hour’s work for filling the tank = \(\\ \frac { 1 }{ 5 } \)

Pipe B’s one hour’s work for emptying = \(\\ \frac { 1 }{ 6 } \)

**Question 16.**

**Solution:**

Tap A’s one hour’s work = \(\\ \frac { 1 }{ 6 } \)

Tap B’s one hour’s work = \(\\ \frac { 1 }{ 8 } \)

Tap C’s one hour’s work = \(\\ \frac { 1 }{ 12 } \)

A, B and C’s together one hour’s work

**Question 17.**

**Solution:**

Inlet A’s 1 minutes work = \(\\ \frac { 1 }{ 12 } \)

Inlet B’s 1 minutes work = \(\\ \frac { 1 }{ 15 } \)

**Question 18.**

**Solution:**

The inlet pipe’s 1 hour’s work = \(\\ \frac { 1 }{ 9 } \)

The leak and inlet’s 1 hours work = \(\\ \frac { 1 }{ 10 } \)

Leak’s 1 hour work = \(\frac { 1 }{ 9 } -\frac { 1 }{ 10 } \)

= \(\\ \frac { 10-9 }{ 90 } \)

= \(\\ \frac { 1 }{ 90 } \)

The leak can empty the cistern in = 90 hours Ans.

**Question 19.**

**Solution:**

Inlet pipe A’s one hour’s work = \(\\ \frac { 1 }{ 6 } \)

Inlet pipe B’s one hour’s work = \(\\ \frac { 1 }{ 8 } \)

Hope given RS Aggarwal Solutions Class 8 Chapter 13 Time and Work Ex 13A are helpful to complete your math homework.

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