The distance between two stations A and B is 440 km. A train starts at 4 p.m. from A and move towards B at an average speed of 40 km/hr. Another train starts B at 5 p.m. and moves towards A at an average speed of 60 km/hr. How far from A will the two trains meet and at what time?
200,8 p.m.
300,9 p.m.
200,9 p.m.
300,8 p.m.
The sum of the distances covered by both trains should be equal to the total distance between the stations A and B: 40t+60(t−1)=44040t + 60(t - 1) = 44040t+60(t−1)=440
40t+60t−60=440
100t−60=440
100t=500
t=5
So, the trains will meet 5 hours after Train A starts from A.
Train A starts at 4 p.m. so 5 hours from 4 p.m. is 4 p.m. + 5 hours = 9 p.m.
The two trains will meet 200 km from A at 9 p.m.
Option 3: 200, 9 p.m.