Which of the following are inversely proportional?

Driving speed and time

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Number of people working in a family and the total income of the family

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Food intake versus weight of the person

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Depth of oil in a cylinder and the area of the cylinder’s base

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Solution

The correct options are
A
Driving speed and time

D
Depth of oil in a cylinder and the area of the cylinder’s base

We know that, $S p e e d = \frac{D i s t a n c e}{T i m e}$ , thus speed and time are inversely proportional.

As the number of people working in a family increases, so does the total income of the family.

More the food intake, more would be the weight of the person. Hence the above two are cases of direct proportion.

$V o l u m e o f a c y l i n d e r = B a s e a r e a \times H e i g h t$ , thus depth/height and area of the base are inversely proportional.

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