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?

Question

Bright Tutorials · Accepted Answer

Time taken by the tap for 500 mL of water = 15 seconds
∴ Ratio of volume to time = 500 : 15
We know 1 litre = 1,000 mL
10 litre = 10 × 1,000 = 10,000 mL
Let the time taken to fill a bucket of 10,000 mL be x seconds.
∴ Ratio of volume to time = 10,000 : x
These ratios are proportional.
∴ 500 : 15 :: 10,000 : x
⇒ $\frac{500}{15}=\frac{10,000}{x}$
⇒ 500x = 1,50,000
⇒ x = 300
∴ Time to fill bucket = 300 seconds
= $\frac {300}{60}$ minutes
= 5 minutes.

Proportional Reasoning 1 — Question 9