1. Which of the following quantities are in inverse proportion? State the assumption made in each case. (a) The number of pencils Farhan buys and the total cost of the pencils. (b) The number of taps filling a tank and the time taken to fill the tank. (c) The number of men laying a road and the time taken to finish laying the road. (d) The number of cattle to be fed and the amount of fodder. (e) The number of cattle to be fed and the time taken to finish a certain amount of the fodder.
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Step-by-step explanation:
The number of pencils Farhan buys directly affects the cost because the more the pencils are the more will be their cost .
The first tap fills in 6 hours, so it fills at the rate of 1/6 or 4/24 of the tank each hour.
The second tap fills in 4 hours, so it fills at the rate of 1/4 or 6/24 of the tank each hour.
Together they fill at the rate of 4/24 + 6/24 of the tank each hour or 10/24 or 5/12 of the tank each hour.
Therefore it will take 12/5 hours or 2 and 2/5 hours to do the job, or 2 hours 24 minutes.
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