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13. Direct and Inverse Proportions
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Q10 of 21 Page 208

A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Let the distance covered by truck in 5 hours be x km


The given information in the form of table is as follows:














Distance in km



14



x



Time in minutes



25



5 ×60 = 300



The above information is in direct proportion.


Therefore,


14/25 = x/300


→x = 168 km


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8

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

9

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time

(i) the length of the shadow cast by another pole 10 m 50 cm high


(ii) the height of a pole which casts a shadow 5m long.

1

Which of the following are in inverse proportion?

(i) The number of workers on a job and the time to complete the job.


(ii) The time taken for a journey and the distance travelled in a uniform speed.


(iii) Area of cultivated land and the crop harvested.


(iv) The time taken for a fixed journey and the speed of the vehicle.


(v) The population of a country and the area of land per person.

2

In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the numberof winners?

Questions · 21
13. Direct and Inverse Proportions
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