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10. Direct and Inverse Variable
Home · Class 8 · Maths · Ref. Book · 10. Direct and Inverse Variable
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Q5 of 41 Page 10

If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?

Let the number of days required is














Men



36



15



Time (days)



25







Therefore the number of days required to complete the work is 60 days


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3

Which of the following quantities vary inversely as each other?

(i) The number of x men hired to construct a wall and the time y taken to finish the job.


(ii) The length x of a journey by bus and price y of the ticket.


(iii) Journey (x km) undertaken by a car and the petrol (y litres) consumed by it.

4

It is known that for a given mass of gas, the volume v varies inversely as the pressure p. Fill in the missing entries in the following table :


























v (in cm)3



…



48



60



…



100



…



200



p (in atmospheres)



2



…



3/2



1



…



1/2



…


6

A work force of 50 men with a contractor can finish a piece of work in 5 months. In how many months the same work can be completed by 125 men?

7

A work-force of 420 men with a contractor can finish a certain piece of work in 9 months. How many extra men must he employ to complete the job in 7 months?

Questions · 41
10. Direct and Inverse Variable
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