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10. Direct and Inverse Variable
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Q4 of 41 Page 10

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



…


























V (in cm)3



45



48



60



90



100



180



200



P (in atmosphere)



2



15/8



3/2



1



0.9



1/2



9/20



Explanation:


















More from this chapter

All 41 →
2

It x and y vary inversely, fill in the following blanks:

(i)




















X



12



16



…..



8



…



Y



….



6



4



…….



0.25



(ii)


















X



16



32



8



128



Y



4



…..



…….



0.25



(iii)


















x



9



……



81



243



y



27



9



……



1


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.

5

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

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?

Questions · 41
10. Direct and Inverse Variable
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