Question

Adil's bathroom has two taps next to each other and a bucket is kept under them. Tap 1 alone (at full flow) can fill HALF the bucket in 2 minutes and Tap 2 alone (at full flow) can fill HALF the bucket in 3 minutes.
If both taps are turned on (to full flow), in how much time will the bucket get filled completely?

Answer 1

Answer:

2 minutes 24 seconds

Step-by-step explanation:

Answer 2

Answer:

The bucket will get filled completely in 2.4 minutes.

Step-by-step explanation:

Step 1:

It is given that tap 1 fills half the bucket in 2 minutes.

Therefore, tap 1 will fill full bucket in 4 minutes.

Part of bucket filled by tap 1 in 1 minute = 1/4

Step 2:

Tap 2 fills half the bucket in 3 minutes.

Therefore, tap 2 will fill full bucket in 6 minutes.

Part of bucket filled by tap 2 in 1 minute = 1/6

Step 3:

Hence, part of bucket fill in 1 minute by tap 1 and tap 2 = 1/4 + 1/6

Part of bucket fill in 1 minute by tap 1 and tap 2 = (3+2)/12

Part of bucket fill in 1 minute by tap 1 and tap 2 = 5/12

So, 5/12 part of the bucket is filled in 1 minute by tap 1 and tap 2.

Let the entire bucket be filled in x minutes by tap 1 and tap 2.

Therefore,

x = $\frac{1}{\frac{5}{12}}$

x = 12/5

x = 2.4 minutes

Therefore, if both taps are turned on (to full flow), in 2.4 minutes the bucket will get filled completely.

#SPJ2