Question

A bucket of 15 liters is filled through a tap at rate of 1 liter/min. After 5 mins the bucket develops a crack
with leakage rate 10ml/sec. Find the time required to fill the bucket. Also find the amount of water saved if
the Crack has not developed​

Answer 1

Answer:

25 min. will be taken to fill it and if the crack would not be devlloped then 15 litre water will be saved.

Answer 2

Answer:

Time required to fill the bucket is 25 minutes and the amount of water saved if no crack in the bucket is 15 litres

Step-by-step explanation:

Given:

• A bucket of 15 liters is filled through a tap at rate of 1 litre /min
• Every 5 mins the bucket develops a crack with leakage rate 10 ml/sec

To find:

• Time required to fill the bucket.
• Amount of water saved when no leak.

Solution:

In rate 1 litre in 1 min means 1000 ml in 60 sec.

So in 5 min it completes the 5 litre of water in bucket.

Remaining 10L of bucket to be filled.

But cracks are developed and leaked out with 10ml in sec.

Therefore we can say that,

every 6 sec 100 ml of water is filled and every 1 sec 10 ml of water is out

It means 1 × 6 sec = 6sec  i.e 60 ml (out)

For every 6 sec 60ml of water is leaked out

Every 6 sec = 100 - 60 = 40 ml (in)

For every 6 sec 40ml of water is filled in the bucket

So remaining 10L = 10000 ml

40 ml in 6 sec

1 ml = 6 ÷ 40

10000ml = $\frac{6}{40}$ × 10000 sec

              = $\frac{3}{2}$  × 1000 sec

             = 3 × 500 sec

              = 1500 sec

Therefore 10 L = 25 min.

Time required to fill the bucket = 25 min

Amount of water saved = 15 litre

Final answer:

Time required to fill the bucket is 25 minutes and the amount of water saved if no crack in the bucket is 15 litres

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