Q49. Two pipes can fill an empty tank separately in 24minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute all the three pipes are open, empty tank becomes full in one hour. The capacity of the tank (in gallons) is

(a) 800

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(b) 600

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(d) 400

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
(b) 600

Capacity of tank = x gallons

According to the question

$60 (\frac{x}{24} + \frac{x}{40} - 30) = x \frac{x}{24} + \frac{x}{40} - 30 = \frac{x}{60} \frac{x}{24} + \frac{x}{40} = \frac{x}{60} = 30 \frac{5 x + 3 x - 2 x}{120} = 30 \frac{6 x}{120} = 30 \frac{6 x}{120} = 30 6 x = 120 \times 30 x = \frac{120 \times 30}{6} = 600 g a l l o n s$

Suggest Corrections

Similar questions

Q. Two pipes can fill an empty tank separately in

24

minutes and

40

minutes respectively and a third pipe can empty

30

gallons of water per minute. If all the three pipes are open, empty tanks becomes full in one hour. The capacity of tank (in gallons) is

Q. Two pipes can fill a tank in

25

and

30

minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in

15

minutes. The capacity of the tank is:

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?

Q. Two pipes A and B can fill a water tank in 20 minutes and 24 minutes, respectively, and the third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together, fill the tank in 15 minutes the capacity (in gallons) of the tank is

Q. Two inlet pipes can fill a cistern in 10 and 12 hours respectively and an outlet pipe can empty 80 gallons of water hour. All the three pipes working together can fill the empty cistern in 20 hours. What is the capacity (in gallons) of the tank?

Join BYJU'S Learning Program

Q49. Two pipes can fill an empty tank separately in 24minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute all the three pipes are open, empty tank becomes full in one hour. The capacity of the tank (in gallons) is

The correct option is B (b) 600 Capacity of tank = x gallons According to the question 60(x24+x40−30)=xx24+x40−30=x60x24+x40=x60=305x+3x−2x120=306x120=306x120=306x=120×30x=120×306=600 gallons