Is 3 hours : 150 minutes and 42 days : 5 weeks in the form of proportion?

Given:

Two ratios 3 hours : 150 minutes and 42 days : 5 weeks.

To do:

We have to find whether the given ratios are in proportion.

Solution:

A proportion is simply a statement that two ratios are equal.

We know that,

1 hour $=$ 60 minutes

1 week $=$ 7 days

This implies,

$3\ hours : 150\ minutes=3\times60\ minutes:150\ minutes$

$=180\ minutes:150\ minutes$

$=30\times6:30\times5$

$=6:5$

$42\ days:5\ weeks=42\ days:5\times7\ days$

$=42\ days:35\ days$

$=7\times6:7\times5$

$=6:5$

$3\ hours : 150\ minutes=42\ days:5\ weeks$

Therefore, the given ratios are in proportion.

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Updated on: 10-Oct-2022

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