Question : A person travelled from station A to station B at 40 km/h and from B to A at 30 km/h. The entire journey took 6.3 hours. What is the distance (in km) between A and B?
Option 1: 117
Option 2: 108
Option 3: 91
Option 4: 99
Correct Answer: 108
Solution :
Let the Distance be $120x$ km.
Time taken to travel from A to B at 40 km/h is $\frac{120x}{40}$hrs = 3$x$ hrs
Time taken to travel from B to A at 30 km/h is $\frac{120x}{30}$hrs = 4$x$ hrs
Total Time = 4$x$ + 3$x$ = 7$x$ hrs
Distance = $\frac{120x}{7x}$ × 6.3 = 120 × 0.9
= 108 km
Hence, the correct answer is 108.
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