Question

Are the ratios 10 min : 1 hour and 6 hours : 36 hours in proportion?​

Answer 1

✷ Given :-

• 10 min : 1 hour and 6 hours : 36 hour.

✷ To Find :-

• The given ratios are in proportion or not.

✷ Solution :-

To find that the given ratios are in proportion or not, we have to find their simplest form first.

As we know 1 hour = 60 minutes.

$\sf Now, \dfrac{\cancel{10}^{1}}{\cancel{60}_{6}} = \Large\frac{1}{6}$

Hence, the simplest form of 10 minutes : 1 hour is 1 : 6.

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Now, find the simplest form of 6 hours : 36 hours.

$\sf\mapsto \dfrac{\cancel{6}^{ \: 1}}{\cancel{36}_{6}} = \Large\frac{1}{6}$

Hence, the simplest form of both the ratios are same.

This means that the ratios 10 min : 1 hour and 6 hours : 36 hours are in proportion.

Answer 2

Given:

First ratio = 10 min : 1 hour

Second ratio = 6 hours : 36 hours

To find:

Are the ratios 10 min : 1 hour and 6 hours : 36 hours in proportion?​

Solution:

Let us consider the first ratio to proceed:

= 10 min : 1 hour

Now, let us multiply the ratio by 360. On doing so, we get:

= 360 min : 36 hour

Now, let us convert the unit of "minutes" into "hour". We know that:

360 minutes = 360/60 hours = 6 hours

Thus, the ratio will become: 6 hours : 36 hours

Therefore, we can say that the ratios 10 min : 1 hour and 6 hours : 36 hours are in proportion.