Question

The cold water tap can fill a container two hours faster than the hot water tap. The two taps together can fill a container in 80 minutes. How long does it take each tap to fill the container on its own?

Answer 1

Answer:

2 hrs and 4 hrs

Step-by-step explanation:

• Cold tap flow = c
• Hot tap flow = h
• Container volume= 1 unit

• Time to fill a container: 1/c and 1/h

We have:

1/c=2*1/h => h=2c

1/(c+h)= 80 min

1/(c+2c)=80

1/3c=80

c=1/240 => 1/c=240 min = 4 hrs

h=2/240=1/120 => 1/h=120 min= 2 hrs

Answer is 2 hrs and 4 hrs