Question : A train starts at 3:00 pm from Mumbai and moves towards Ahmedabad at the speed of 20 km/hr. Another train starts from Ahmedabad at 8 pm and moves towards Mumbai at the speed of 60 km/hr. If the distance between Mumbai and Ahmedabad is 600 km, then at what time both the trains will meet?
Option 1: 1:30 am
Option 2: 12:30 am
Option 3: 2:00 am
Option 4: 2:15 am
Correct Answer: 2:15 am
Solution :
Let's denote the time after which both trains meet as t.
The first train travels for 5 hours (from 3:00 pm to 8:00 pm) at a speed of 20 km/hr covering a distance.
= 20 × 5 = 100 km
The remaining distance between Mumbai and Ahmedabad
= 600 – 100 = 500 km
Relative speed of two trains = 20 + 60 = 80 km/hr
So, Time = $\frac{\text{Distance}}{\text{Relative speed}}$ = $\frac{500}{80}$ = 6.25 hours
Now,
⇒ Meeting Time = 8:00 pm + 6.25 hours = 2:15 am
Hence, the correct answer is 2:15 am.
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