(a) The ratio of 20 minutes to 2 hrs.
(b) Find $x$ if $5 : 4 :: 125 : x$
[2 MARKS]

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Solution

Each Option: 1 Mark

(a) $2 h r s = 60 \times 2 = 120$ minutes (1 hr = 60 minute)
Ratio of 20 minutes to 2 hrs = 20:120 =1:6
[ Remember that for taking ratio unit of both quantities should be same ]

(b) $5 : 4 :: 125 : x \Rightarrow \frac{5}{4} = \frac{125}{x}$

$\Rightarrow \frac{5}{4} = \frac{125}{x}$
$\Rightarrow \frac{4}{5} = \frac{x}{125}$

$\Rightarrow x = \frac{125 \times 4}{5} = 25 \times 4$

$\Rightarrow x = 100$

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