Question

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Answer 1

$\textbf{\underline{\underline{Question:- }}}$

In a class test, Shoeb completed his paper in 60 minutes where as his friend Gautam took 2 hours to complete the same test paper. Find the ratio between the time taken to complete the class test paper by both the friends.

$\textbf{\underline{\underline{Answer :-}}}$

The ratio of the time taken by Shoeb and Gautam to complete the paper is = 1 : 2

$\textbf{\underline{\underline{Explanation :- }}}$

Given :

Time taken by Shoeb to complete the paper = 60 minutes

Time taken by Gautam to complete the paper = 2 hours

To find :

The Ratio between the time taken to complete the paper by Shoeb and Gautam.

Solution :

Hours and minutes are different units of measurement of time, hence we cannot compare them without conversion.

Hence , first we need to convert the time into same units before expressing the time taken by Shoeb and Gautam as a ratio.

★ 1 hour = 60 minutes

So, 2 hours =

${\Rightarrow}$ 2 × 60

$\tt{\Rightarrow}$ 120 minutes

Ratio of the time taken by =

Shoeb : Gautam =

$\tt{\implies \dfrac{60}{120} }$

$\tt{\implies \dfrac{1}{2}}$

$\tt{\implies1 : 2}$

$\therefore$The ratio of the time taken by Shoeb and Gautam to complete the paper is 1 : 2

METHOD II

We can also convert 60 minutes into hours.

★ 60 minutes = 1 hour

Time taken by Shoeb = 60 min. = 1 hour

Time taken by Gautam = 2 hours

Ratio of the time taken by =

Shoeb : Gautam =

$\tt{\implies1 : 2}$

$\therefore$The ratio of the time taken by Shoeb and Gautam to complete the paper is = 1 : 2

Answer 2

Answer is given down mate :

Ratio is 1 : 2

Wondering how ?? Explanation is here for u mate !!

Shoeb = 1 hour

Gautam = 2 hour

Ratio =

1 : 2

1 : 2 is the Ratio