## 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

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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