The distance between two stations A and B is 575 km A train starts from station lsquo A rsquo at 3 0...........

Quantitative Aptitude (CGL) Problems on trains

The distance between two stations A and B is 575 km. A train starts from station ‘A’ at 3:00 p.m. and moves towards station ‘B’

at an average speed of 50 km/h. Another train starts from station ‘B’ at 3:30 p.m. and moves towards station ‘A’ at an average

speed of 60 km/h. How far from station ‘A’ will the trains meet ?

This questions was previously asked in

SSC CGL 9th March 2020 Shift-3

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275 km

325 km

300 km

225 km

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Explanation:

Distance between stations = 575 km
Speed of train A = 50 km/hr
Distance covered by train A in (30 min = 1/2 hr) = time $$\times speed = 50 \times 1/2 = 25 km$$
Trains are running in opposite direction so,
Relative speed = 50 + 60 = 110 km/hr
Distance covered by both train = 575 - 25 = 550 km
Time taken by both trains to meet = 550/110 = 5 hr
Distance covered by train A in 5 hr = 5 $$\times 50 = 250 km$$
Distance covered by train A from station A = distance covered by train A in 30 min + distance covered by train A in 5 = 250 + 25 = 275 km
$$\therefore$$275 km far from station ‘A’ will the trains meet.

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