If 2 pumps working 7 hours a day can lift 2,800 gallons of wayer in 20

1.	If 2 pumps working 7 hours a day can lift 2,800 gallons of wayer in 20days, in how many days can 20 pumps working 9 hours a day life 3,000gallons of water?
Answer» Given that 2 pumps working 7 HOURS a day can lift 2,800 gallons of water in 20 days To Find :- In how many days can 20 pumps working 9 hours a day life 3,000 gallons of water? Solution :- 2 pumps working 7 hours a day = pumps WORK for 14 hours per day. ------(1) Again, 2800 gallons of water lift in 20 days. It means, 140 gallons of water lift in 1 day. ------(2) From equation (1) and (2), we concluded, 140 gallons of water is lifted in 14 hours. So, In 1 hour, 140 ÷ 14 = 10 gallons of water is lifted. According to STATEMENT, 20 pumps working 9 hours per day = pumps works for 180 hours per day. Now, In 1 hour, 10 gallons of water is lifted. So, In 180 hours, 180 × 10 = 1800 gallons of water is lifted. It implies, 1800 gallons of water is lifted in 1 day. So, 3000 gallons of water is lifted in $\: \: \rm = \: \: \dfrac{3000}{1800}$ $\: \: \rm = \: \: 1.666 \: days$

If 2 pumps working 7 hours a day can lift 2,800 gallons of wayer in 20days, in how many days can 20 pumps working 9 hours a day life 3,000gallons of water?

Answer»

2 pumps working 7 HOURS a day can lift 2,800 gallons of water in 20 days

In how many days can 20 pumps working 9 hours a day life 3,000 gallons of water?

2 pumps working 7 hours a day = pumps WORK for 14 hours per day. ------(1)

Again,

2800 gallons of water lift in 20 days.

From equation (1) and (2), we concluded,

So, In 1 hour, 140 ÷ 14 = 10 gallons of water is lifted.

20 pumps working 9 hours per day = pumps works for 180 hours per day.

Now,

So,

In 180 hours,

It implies,

So,

3000 gallons of water is lifted in

$\: \: \rm = \: \: \dfrac{3000}{1800}$

$\: \: \rm = \: \: 1.666 \: days$