Question : Two motorists start together to travel to a certain destination, one at the speed of 4 km/h and the other at the speed of 6 km/h. Find the distance travelled by them (in km) if the motorist travelling at 4 km/h arrives half an hour after the other motorist.
Option 1: 8
Option 2: 5
Option 3: 6
Option 4: 4
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Correct Answer: 6
Solution :
Given: Speed of first motorist = 4 km/h
Speed of second motorist = 6 km/h
Let the distance be $x$ km.
According to the question,
⇒ $\frac{x}{4}–\frac{x}{6}=\frac{1}{2}$
⇒ $\frac{3x–2x}{12}=\frac{1}{2}$
⇒ $2x=12$
⇒ $x=6$ km
Hence, the correct answer is 6.
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