Subject: General Aptitude · Chapter: Problems on Trains · Exam: · Marks: · Difficulty:
Two trains start at the same time form A and B and proceed toward each other at the speed of 75 km/hr and 50 km/hr respectively. when both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B. [SSC—CHSL (10+2) Exam, 2015] 620 QUANTITATIVE APTITUDE
(a)32
(b)31
(c)33
(d)30
Answer
Answer (as printed): A
Explanation
Let the trains meet after t hours. Speed of train A = 75 km/hr Speed of train B = 50 km/hr Distance covered by train A = 75 × t = 75t Distance covered by train B = 50 × t = 50t Distance = Speed × Time According to the question, 75t – 50t = 175 ⇒ 25t = 175 175 ⇒ t= = 7 hours 25 ∴ Distance between A and B = 75t + 50t = 125t = 125 × 7 = 875 km.
Explanation as extracted from the printed page; notation may be imperfect.