There are two taps in a water tank. The first tap pumps water in the tank and the second one drains it out. The first tap takes 30 minutes to make the tank full and the second tap needs 40 minutes to drain that water out. If \both taps are opened at the same time, how long will it take to make a half-full tank?

Ashifur August 8, 2023 - 18:32

Problem: There are two taps in a water tank. The first tap pumps water in the tank and the second one drains it out. The first tap takes 30 minutes to make the tank full and the second tap needs 40 minutes to drain that water out. If \both taps are opened at the same time, how long will it take to make a half-full tank?

View all: STANDARD BANK OFFICER (TAO) | WRITTEN QUESTION (MATH) SOLVE | 2016

Correct Answer: 60 minute

Explanation:

1$^{st}$ tap takes 30 minutes to till 1 part of the tank

1$^{st}$ tap takes 1 minute to fill $\frac{1}{30}$ pan of the tank

Again, 2$^{nd}$ tap takes 40 minutes to drain 1 part of the tank

2$^{nd}$ tap takes 1 minute to drain $\frac{1}{40}$ part of the tank

in 1 minute,

Two taps fill ($\frac{1}{30}$-$\frac{1}{40}$ ) part of the tank

= $\frac{1}{120}$ part of the tank

Now, $\frac{1}{120}$ part of the tank is filled in = 1 minute

$\frac{1}{2}$ part of the tank is filled in =$\frac{120}{2}$ = 60 minute

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