Question : Two men do the same journey by travelling at the speed of 18 km/hr and 24 km/hr, respectively. If one man takes 20 minutes more than the other man, then the distance (in km) of the total journey is:
Option 1: 24
Option 2: 20
Option 3: 18
Option 4: 21
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Correct Answer: 24
Solution :
Given: Speed of the first person = 18 km/hr
Speed of second person = 24 km/hr
Let the distance be $x$ km.
Time taken by the first person = $\frac{x}{18}$ hour
Time taken by the second person = $\frac{x}{24}$ hour
According to the question,
⇒ $\frac{x}{18}–\frac{x}{24}=\frac{20}{60}$
⇒ $\frac{4x–3x}{72}=\frac{1}{3}$
$\therefore x=24$ km
Hence, the correct answer is 24.
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