Question : Two trains start from Delhi and Poona towards each other at 7 a.m. with speeds of 85 km/hr and 67km/hr, respectively. If they cross each other at 3.30 p.m., the distance between the stations is:
Option 1: 1245 km
Option 2: 1292 km
Option 3: 1283 km
Option 4: 1227 km
Correct Answer: 1292 km
Solution :
Given,
Starting time = 7 am
Speed of first train = 85 km/hr
Speed of second train = 67 km/hr
Crossing time = 3:30 pm
We know, Speed = Total distance ÷ Time
According to the question,
Trains are moving in opposite directions.
$\therefore$ Relative Speed = 85 + 67 = 152 km/hr
Now, the total time taken to cross each other = (7 am – 3:30 pm) = 8.5 hours
So, the total distance between the stations
= Relative Speed × Time Taken
= 152 × 8.5 = 1292 km
Hence, the correct answer is 1292 km.
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