If 15 pumps of equal capacity can fill a tank in 7 days, then how many extra pumps will be required to fill the tank in 5 days?
6
7
14
21
The correct answer is option (A) : 6
Given:
Number of pumps required to fill the tank in 7 days = 15 (let's call this "A").
We want to find the number of extra pumps required to fill the tank in 5 days.
Let the number of extra pumps required be "n."
Now, the number of pumps required to fill the tank in 1 day with the extra pumps is (n + A).
The number of pumps required to fill the tank in 1 day is also given as 105 (from the information provided in the explanation).
So, (n + A)\(\times\)5 = 105
Now, substitute the value of A (which is 15):
(n + 15)\(\times\)5 = 105
Next, solve for "n":
n + 15 = 21
n = 21 - 15
n = 6
Therefore, the correct answer is 6. Six extra pumps will be required to fill the tank in 5 days.