A factory requires 42 machines to produce a given number of toys in 63 days. How many machines are required to produce Class 8

A factory requires 42 machines to produce a given number of toys in 63 days. How many machines are required to produce Class 8

Question 1.

A factory requires 42 machines to produce a given number of toys in 63 days. How many machines are required to produce the same number of toys in 54 days? Class 8

Solution:

Let the number of machines required be x.

Clearly, there is an inverse proportion between number of machines and number of days required to produce same number of toys.

So, 42 × 63 = x × 54

or x = [latex]\frac{42 \times 63}{54}[/latex] = [latex]\frac{49}{1}[/latex] = 49.

Question 2.

A car takes 2 hours to reach a destination, travelling at a speed of 60 km/h. How long will the car take if it travels at a speed of 80 km/h?

Solution:

Let required time is x hours. Speed and time taken are in inverse proportion.

So, 2 × 60 = x × 80

or x = [latex]\frac{2 \times 60}{80}[/latex] hours

= [latex]\frac{60}{40}[/latex] = [latex]\frac{3}{2}[/latex] hours = 1[latex]\frac{1}{2}[/latex] hours.