Question

the rates of working of two taps A and B are in the ratio 4:5 the ratio of the time taken by A and B respectively to fill the given cistern is option A. 4:5 B. 5:4 c.
5:6 d. 6:5

Answer 1

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Answer 2

The ratio of the time taken by A and B is option b. 5:4

QUESTION:-

The rates of working of two taps A and B are in the ratio 4:5 the ratio of the time taken by A and B respectively to fill the given cistern is option

• A. 4:5
• B. 5:4
• c. 5:6
• d. 6:5

GIVEN:- Rates of working of two taps A and B = 4 : 5

TO FIND:- Ratio of the time taken by A and B

SOLUTION:-

• Ratio 4:5 can be written as $\frac{4}{5}$

As we know,

• Work Done = Time Taken × Rate of Work.
• Rate of Work = 1 / Time Taken.
• Time Taken = 1 / Rate of Work.

According to the question we need to find the time taken.

We will use the Time Taken = 1 / Rate of Work formula because the Rate of work is given as 4:5 which means $\frac{4}{5}$

By putting in the formula

Time Taken =

$= \frac{1}{rate \: of \: work} \\ = \frac{1}{ \frac{4}{5} } \\ = 1 \times \frac{5}{4} \\ = \frac{5}{4}$

Can be written as 5 : 4

Hence, the ratio of the time taken by A and B is option b. 5:4

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