Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively, when they meet, it is found that one train has travelled 140 km more than the other. What is the distance (in km) between the two stations?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1120
Let the time taken for traveling be ' x ' hour's
The distance travelled by train with speed 90 km/h = 90 × x = 90t
The distance travelled by train with speed 70 km/h = 70 × x = 70t
According to question
Difference in distance traveled by two train = 140 km
90 × x - 70 × x = 140
⇒ 90x - 70x = 140
⇒ 20x = 140
⇒ x = 7 hours
Distance between the two stations = 90 × 7 + 70 × 7
⇒ 160 × 7
⇒ 1120 km