Question 17 of 22beginner🔧 ApplyNumerical2 marks

A tap takes 15 seconds to fill a mug of water. The volume of the mug is 500 mL. How much time does the same tap take to fill a bucket of water if the bucket has a 10-litre capacity?

Correct Answer

Given:

  • Mug volume = 500 mL
  • Time to fill mug = 15 seconds
  • Bucket capacity = 10 litres

Step 1: Convert bucket capacity to mL 10 litres = 10,000 mL (since 1 litre = 1000 mL)

Step 2: Set up proportion 500 mL : 15 seconds :: 10,000 mL : x seconds

Step 3: Calculate x x = (15×1015 \times 10,000) ÷ 500 x = 150,000 ÷ 500 x = 300 seconds

Step 4: Convert to minutes 300 ÷ 60 = 5 minutes

Answer: The tap will take 300 seconds (or 5 minutes) to fill the 10-litre bucket.

Exercise: Figure it Out (Section 4) | Q: 9 | (Page Page 19)
For More Understanding

Explanation

First convert bucket capacity to mL (1 litre = 1000 mL). Then use proportion to find the time needed.

Solution Steps

  1. Step 1: Convert bucket capacity: 10 litres = 10,000 mL

  2. Step 2: Set up proportion: 500 mL : 15 seconds :: 10,000 mL : x seconds

  3. Step 3: x = (15×1015 \times 10,000) ÷ 500 = 150,000 ÷ 500 = 300 seconds

  4. Step 4: Convert to minutes: 300 ÷ 60 = 5 minutes

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