Question 9

Which of the following vary inversely with each other?
(a) Speed and distance covered
(b) Distance covered and taxi fare
(c) Distance travelled and time taken
(d) Speed and time taken

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Solution

In order to cover a fixed distance, if a person moves at a higher speed, the time taken to cover the distance will be less and vice versa.

Hence, speed and time taken vary inversely with each other.
So, option (d) is correct.

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Question 60

In questions which of the following vary directly and which vary inversely with each other and which are neither of the two?
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Question 44

When the speed is kept fixed, time and distance vary inversely with each other.

Check whatever there is a direct or an inverse proportion in the following cases. Give reason to support your answer.

i) Number of water bottles and their cost

ii) Time taken and the distance covered at a uniform speed of vehicle

iii) Distance traveled and there fare charge for it

iv) Number of person and the number of days for which the food should last

The time taken to travel 30km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11 hours more than earlier.
Find the speed of the stream and speed of the boat.

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Inverse Proportion

Standard VIII Mathematics

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Question 9 Which of the following vary inversely with each other? (a) Speed and distance covered (b) Distance covered and taxi fare (c) Distance travelled and time taken (d) Speed and time taken

In order to cover a fixed distance, if a person moves at a higher speed, the time taken to cover the distance will be less and vice versa. Hence, speed and time taken vary inversely with each other. So, option (d) is correct.

Question 9

Which of the following vary inversely with each other?
(a) Speed and distance covered
(b) Distance covered and taxi fare
(c) Distance travelled and time taken
(d) Speed and time taken

In order to cover a fixed distance, if a person moves at a higher speed, the time taken to cover the distance will be less and vice versa.

Hence, speed and time taken vary inversely with each other.
So, option (d) is correct.