Question

Three people take 90 minutes to water a garden. How many minutes would six people take ?

Answer 1

180 minutes will be taken by six people

Answer 2

SOLUTION

GIVEN

Three people take 90 minutes to water a garden.

TO DETERMINE

The time (minutes) taken by six people to complete the work

EVALUATION

SOLVE USING RULES OF THREE

$\sf{Number \: of \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Time \: taken }$

$\sf{people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (minutes) \: }$

$\sf{3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 90 \: }$

$\sf{6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ? \: }$

Now if the Number of people increases then the time take taken will decreases

Here the number of people and Time taken are in inverse proportion

So the time required

$= \displaystyle \sf{ 90 \times \frac{3}{6} \: }$

$= \displaystyle \sf{ 90 \times \frac{1}{2} \: }$

$= \sf{45 \: }$

FINAL ANSWER

The required time = 45 minutes

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