The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8
Given:
Distance = 200 km
S1 = 75 km/h
S2 = 85 km/h
Formula used:
Speed = Distance/Time ---- (1)
Calculations:
Speed of train A = 75 km/h
Speed of train B = 85 km/h
Relative speed = 75 + 85 = 160 km/h
Using equation (1), we get
⇒ 200 = 160 × t
⇒ t = (5/4) × 60 = 75 min
Distance 3 minutes before the trains meet
time = 75 - 3 = 72 min
Distance = 160 × (72/60) = 192 km
Hence, distance between the two trains (in km) 3 minutes before they meet = 200 - 192 = 8 km.