Two trains, running between Bangalore and Chennai, start at the same time from their respective locations and proceed towards each other at the speed of 80km/h and 95km/h. When they meet, it is found that one train has travelled 180km more than the other.The distance between Bangalore and Chennai is _______.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2100 km
Let us assume that both trains traveled for 't' hours as they meet each other.
Thus Let us note the time traveled and speed for both trains:-
⇒ Train 1
v = 80km/hr
t = t hours
d = 80t km
⇒ Train 2
v = 95 km/hr
t = t hours
d = 95t km
We know the difference between the distance traveled by both trains is 180km.
Thus,
⇒ (Distance traveled by train 2) - (Distance traveled by train 2) = 180km
⇒ 95t - 80t = 180
⇒ 15t = 180
⇒ t = 12 hours
Thus, we can now get what distance both trains traveled till they met each other, and we can know how much distance is there between Bangalore and Chennai.
Thus:-
⇒ Distance Traveled by Train 1 = (80)(12)
= 960 km
⇒ Distance Traveled by Train 2 = (95)(12)
= 1140 km
⇒ Distance between both Cities = Distance traveled by Train 1 + Distance traveled by Train 2
= 960 + 1140
⇒ 2100 km