Subject: General Aptitude · Chapter: Time and Distance · Exam: 2009 · Marks: · Difficulty:
A train started from station $A$ and proceeded towards station $B$ at a speed of 48 km/hr. Fortyfive minutes later another train started from station $B$ and proceeded towards station a at 50 km/hr. If the distance between the two stations is 232 km, at what distance from station A will the trains meet?
(a)108 km
(b)132 km
(c)144 km
(d)None of these
Answer
Answer (as printed): B
Explanation
Suppose the trains meet after x hrs. Then, Distance covered by 1st train in x hrs 3 + Distance covered by 2nd train in x – hrs = 232 km 4 3 ⇒ 48x + 50 x – = 232 4 75 539 539 ⇒ 98x = 232 + = ⇒x= hrs. 2 2 196 Required distance 539 = Distance travelled by 1st train in hrs. 196 539 = 48 × km = 132 km. 196
Explanation as extracted from the printed page; notation may be imperfect.