In which of the following cases, x and y vary inversely as each other?

(i) Time taken to travel a given distance, if speed changes.

(ii) The number of people and time taken to complete a work.

(iii) The length of a journey and the price of the ticket.

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(i) and (ii)

(ii) and (iii)

all (i), (ii) and (iii)

none

answer is A.

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Detailed Solution

It is given the following cases.
(i) Time taken to travel a given distance, if speed changes.
(ii) The number of people and time taken to complete a work.
(iii) The length of a journey and the price of the ticket.
To check that in which of the given 3 cases, x and y vary inversely as each other.
Using the fact that (speed

\times

time) is distance and it's given that distance is fixed.
(i) Hence the time and distance vary inversely for a given distance.
We know the fact that for given work time required vary inversely with the number of people.
(ii) Hence the number of people and time taken to complete a work vary inversely.
We also know that the length of a journey and the price of the ticket are in direct proportion as ticket cost increases if distance is more.
(iii) Hence the length of a journey and the price of the ticket vary directly.
Hence, the correct option is 1.

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