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ML Aggarwal Solutions Class 8 Mathematics Solutions for Direct and Inverse Variation Exercise 9.3 in Chapter 9 - Direct and Inverse Variation

Question 3 Direct and Inverse Variation Exercise 9.3

One tap fills a tank in 20 minutes and another tap fills it in 12 minutes. The tank is empty and if both taps are opened together, in how many minutes the tank will be full?

Answer:

Given:

The first tap fill a tank in 20 minutes

The second tap fill a tank in 12 minutes

In 1-minute first tank fills = 1/20 parts

In 1 minute 2nd tank fills = 1/12 parts

In 1 minute both 1st and 2nd tank fills = 1/20 + 1/12

= (3+5)/60

= 8/60 parts

= 2/15 parts

∴ Both first and 2nd tank fills in = 1/(2/15) minutes

= 15/2 minutes

= 7 ½ minutes

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