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

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 13B.

**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:**

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

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

**Question 2.**

**Solution:**

A man’s 1 day work = \(\\ \frac { 1 }{ 5 } \)

Man and his son’s 1 days work = \(\\ \frac { 1 }{ 3 } \)

**Question 3.**

**Solution:**

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

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

**Question 4.**

**Solution:**

Let B can do a work in = x days

Then A can do the work

**Question 5.**

**Solution:**

Let B’s 1 day’s work = x

Then A’s 1 day’s work = 2x

**Question 6.**

**Solution:**

Total wages = Rs. 3000

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

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

**Question 7.**

**Solution:**

Ratio in the rates of working of A and B = 3:4

Ratio in time = \(\\ \frac { 1 }{ 3 } \) : \(\\ \frac { 1 }{ 4 } \)

= \(\\ \frac { 4:3 }{ 12 } \)

= 4 : 3 (c)

**Question 8.**

**Solution:**

A and B’s 1 day’s wok = \(\\ \frac { 1 }{ 12 } \)

B and C’s 1 day’s work = \(\\ \frac { 1 }{ 20 } \)

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

**Question 9.**

**Solution:**

3 men = 5 women

1 man = \(\\ \frac { 5 }{ 3 } \) women 5

6 men = \(\\ \frac { 5 }{ 3 } \) x 6 = 10 women

**Question 10.**

**Solution:**

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

Then B’s 1 day’s work = \(\\ \frac { 1 }{ 10 } \) x \(\\ \frac { 100+50 }{ 100 } \)

= \(\\ \frac { 1 }{ 15 } \) x \(\\ \frac { 150 }{ 100 } \)

= \(\\ \frac { 1 }{ 10 } \)

B will finish the work in = 10 days (a)

**Question 11.**

**Solution:**

A’s 1 hour’s work = \(\\ \frac { 2 }{ 15 } \)

A and B’s ratio in work = \(\\ \frac { 100-20 }{ 100 } \) : 1

= \(\\ \frac { 80 }{ 100 } \) : 1

= \(\\ \frac { 4 }{ 5 } \) : 1

**Question 12.**

**Solution:**

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

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

**Question 13.**

**Solution:**

A’s 1 days work = \(\\ \frac { 1 }{ 25 } \)

B’s 1 days work = \(\\ \frac { 1 }{ 20 } \)

**Question 14.**

**Solution:**

First pipe 1 minutes work = \(\\ \frac { 1 }{ 20 } \)

Second pipe 1 minutes work = \(\\ \frac { 1 }{ 30 } \)

**Question 15.**

**Solution:**

First tap’s 1 hours work to fill = \(\\ \frac { 1 }{ 8 } \)

Second tap’s 1 hours work to empty = \(\\ \frac { 1 }{ 16 } \)

Both 1 hour can fill the cistern

**Question 16.**

**Solution:**

First pump’s 1 hr work to fill = \(\\ \frac { 1 }{ 2 } \)

Due to leakage, tank is filled in \(2\frac { 1 }{ 3 } \) hour

**Question 17.**

**Solution:**

Answer = (b)

First inlet pipe’s 1 hour work = \(\\ \frac { 1 }{ 10 } \)

Second inlet pipe’s 1 hour work = \(\\ \frac { 1 }{ 12 } \)

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

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