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Maths-

General

Easy

Question

Rohit, Peter and Santosh walk around a circular park. They take $1 third h comma 2 over 5 h$ 𝑎𝑛𝑑 $5 over 12 h$ to complete one round. What is the total time taken by them to complete a round in minutes.

hint Hint:

Find the total time in hours and then convert to minutes.

The correct answer is: 69 minutes

Time taken by Rohith to walk around the circular path = $1 third h$
Time taken by Peter to walk around the circular path = $2 over 5 h$
Time taken by Santhosh to walk around the circular path = $5 over 12 h$
Total time taken = $1 third h plus 2 over 5 h plus 5 over 12 h equals open parentheses 1 third plus 2 over 5 plus 5 over 12 close parentheses h$
On taking the LCM of denominators 3,5 and 12, we get LCM as 60.
So, $1 third equals fraction numerator 1 cross times 20 over denominator 3 cross times 20 end fraction equals 20 over 60$ and
$2 over 5 equals fraction numerator 2 cross times 12 over denominator 5 cross times 12 end fraction equals 24 over 60$ and
$5 over 12 equals fraction numerator 5 cross times 5 over denominator 12 cross times 5 end fraction equals 25 over 60$
On adding the terms , we get $open parentheses 20 over 60 plus 24 over 60 plus 25 over 60 close parentheses h equals 69 over 60 cross times h$
To convert it into minutes, multiply by 60.
$not stretchy rightwards double arrow 69 over 60 cross times 60 equals 69$ minutes.
They took 69 minutes to complete a round in a circular park.

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