A train overtakes two persons walking along a railway track The first one walks at 4 5 km hr The oth...........

Quantitative Aptitude ( CCS) Problems on trains

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

59 km/hr

65 km/hr

70 km/hr

81 km/hr

छोटे Courses बड़े Results

Master Problems on trains

Prepare through Micro-courses

Try Now

Explanation:

4.5 km/hr =(4.5 x 5/18)m/sec =5m/4sec = 1.25 m/sec, and
5.4 km/hr =(5.4 x 5/18)m/sec =3m/2sec = 1.5 m/sec.
Let the speed of the train be x m/sec.
Then, (x – 1.25) x 8.4 = (x – 1.5) x 8.5
=> 8.4x – 10.5 = 8.5x – 12.75
=> 0.1x = 2.25
=> x = 22.5
Therefore Speed of the train =(22.5 x18 /5)km/hr = 81 km/hr.