Which of the following quantities vary inversely with respect to each other?
(a) distance travelled and taxi fare
(b) speed of car and the time taken
(c) distance covered and the time taken
(d) number of articles and their cost
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(i) The number of x men hired to construct a wall and the time y taken to finish the job.
⇒ If the number of men hired is more than times required for construction wall shall be less and vice-versa.
∴ It is inverse variation.
(ii) The length xof journey by bus and price y of the ticket.
If the distance of journey is more then cost of ticket will be more and vice-versa.
∴ It is direct variation.
(iii) Journey (x km) undertaken by a car and the petrol (y liters) consumed by it.
If the distance of journey is more then petrol required will also more and vice-versa.
∴ It is direct variation.
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