Two trains start at the same time from Bangalore and Chennai and proceed towards each other at the speeds of 80 km/h and 95 km/h. When they meet, it is found that one train has travelled 180 km more than the other. The distance between Bangalore and Chennai is:

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 02 Feb 2023 Shift 3)

Answer 1

Given:

Speed of train 1 = 80 km/h

Speed of train 2 = 95 km/h

Difference in distance = 180 km

Concept:

Distance = Speed × Time

Solution:

Let the time of travelling be 't' hours

Distance travelled by train with speed 80 km/h = 80 × t

Distance travelled by train with speed 95 km/h = 95 × t

According to the question,

Difference in distance travelled by two train = 180 km

⇒ 95 t - 80t = 180

⇒ 15t = 180

⇒ t = 12 hours

Distance between stations = 80 × 12 + 95 × 12 = 960 + 1140 = 2100km

Hence, the distance between Bangalore and Chennai is 2100 km .