Question : Two men walk from a place at speeds of 9 km/hr and 12 km/hr, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey.
Option 1: 10 km
Option 2: 13 km
Option 3: 15 km
Option 4: 12 km
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Correct Answer: 12 km
Solution :
Two men walk at speeds of 9 km/hr and 12 km/hr, respectively.
Let the distance be $x$.
Time taken to cover the distance by the first person = $\frac{x}{9}$
Time taken to cover the distance by the second person = $\frac{x}{12}$
According to the question,
$\frac{x}{9}- \frac{x}{12} =\frac{20}{60}$
$ ⇒\frac{4x- 3x}{36} = \frac{20}{60}$
$⇒\frac{x}{36}=\frac{20}{60}$
$\therefore x = 12$ km
Hence, the correct answer is 12 km.
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