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Fill in the blanks.

(i) If 3 persons can do a piece of work in 4 days, then 4 persons can do it in……days. 

(ii) If 5 pipes can fill a tank in 144 minutes, then 6 pipes can fill it in ……minutes. 

(iii) A car covers a certain distance in 1 hr 30 minutes at 60 km per hour. If it moves at 45 km per hour, it will take……hours. 

(iv) If 8 oranges cost Rs. 20.80, the cost of 5 oranges is Rs…… 

(v) The weight of 12 sheets of paper is 50 grams. How many sheets will weigh 500 grams?

1 Answer

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(i) By Inverse proportion 

3 × 4 = 4 × (no. of days required)

(No. of days required) = \(\frac{3\,\times\,4}{4}\) = 3 days

(ii) By Inverse proportion 

5 × 144 = 6 × (time required)

(Time required) = \(\frac{5\,\times144}{6}\) = 120 minutes

(iii) By Inverse proportion

90 minutes × 60 km/hr = 45 km/hr × (time taken in minutes)

(No. of days required) = \(\frac{90\,\times\,60}{45}\) = 120 minutes = 2 hours

(iv) More the oranges more will be the cost. So it is a direct proportion.

Let the cost be Rs x, \(\frac{20.80}{8}=\frac{x}{5}\)

⇒ 8 × x = 20.80 × 5

x = \(\frac{20.80\,\times\,5}{8}\) = Rs 13

(v) More the no. of sheets more will be the weight of them. So it is a direct proportion.

Let the no. of sheets be x, \(\frac{12}{50}=\frac{\text{x}}{500}\)

50 × x = 500 × 12

x = \(\frac{500\,\times\,12}{50}\) = 120 sheets

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