Quantitative Aptitude Ques 314

Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 am and travels towards B at 20 km/h. Another train starts from B at 8 am and travels towards A at a speed of 25 km/h. At what time will they meet? [NICL (AO) 2014]

Options:

A) 9 am

B) 11 am

C) 11: 30 am

D) 10 am

E) 12 : 30 pm

Show Answer

Answer:

Correct Answer: D

Solution:

  • Distance between station A and B = 110 km Speed of train starting $ (s _1) $ from station A = 20 km/h Speed of train starting $ (s _2) $ from station B = 25 km/h Time difference (t) = 1 h Time taken from A to meet the trains $ =( \frac{d+s _2}{s _1+s _2} )=( \frac{110+25}{20+25} )=3,h $ So, time $ =7am+3h=10,am $
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