*Worksheet solutions for chapter: Direct and Inverse Proportions for class 8 are provided below.*

**(1)** **Which of the following are in direct and inverse proportion?**

**(i) A worker and time to complete the work.**

**(ii) Number of pipes and time taken to fill the tank.**

**(iii)Speed of the train and time taken to complete the same distance.**

**(iv)Number of plants and area of the garden**

**Ans-**

**(i)** Number of worker and time to complete the work.

The above relationship is in **inverse proportion.**

Increasing number of the workers on a job will complete that work in less time.

**(ii)** Number of pipes and time taken to fill the tank.

The above relationship is in **inverse proportion.**

Increasing number of the pipes will fill the tank in less time.

**(iii)**Speed of the train and time taken to complete the same distance.

The above relationship is in **inverse proportion.**

Increasing the speed of train will cover the same distance in less time.

**(iv)**Number of plants and area of the garden.

The above relationship is in **direct proportion.**

Increasing the area of garden will increase the number of plants.

**(2)A car covers 100 km in 1 hour. How much distance will be covered by the car in 2 hours?**

**Ans-**

**(3) A work is completed by 6 workers in 20 days. How many workers required to complete that work in 10 days.**

**Ans-**

**(4)A machine packed 20 boxes in 5 minutes. How many boxes will be packed in 10 minutes?**

**Ans-**

**(5)The food is available for the 20 cheeps for 30 days. If 5 more sheep come in the herd, how long will these food available for all sheep?**

**Ans-**

**(6)If cost of the cloth is 50 Rs per meter . What will be the cost of the of 10 meter cloth?**

**Ans-**

**(7)A teacher has A box of 20 pencil colours. She distributes these pencils among 4 students. How many colour pencils will be distributed among 5 students?**

**Ans-**

**(8)If weight of 40 bottles are 1 kg. What will be the weight of 50 bottles?**

**Ans-**

**(9) 10 craftsmen complete a work in 20 days. If 2 people left the work, how long will they complete the same work?**

**Ans-**

**(10) Fill in the blanks-**

**(i)Two variables are called in ……… , when increase or decrease in value of one variable increases or decreases the value of other variable at the same rate.**

**(ii) Two variables are called in ………, when increase in value of one variable decreases the value of other variable at the same rate.**

**Ans-**

**(i)**Two variables are called in **direct proportion**, when increase or decrease in value of one variable increases or decreases the value of other variable at the same rate.

**(ii)** Two variables are called in **inverse proportion**, when increase in value of one variable decreases the value of other variable at the same rate.

**Helping Topics**