Subject: General Aptitude · Chapter: Time and Distance · Exam: 2008 · Marks: · Difficulty:
Train A leaves Ludhiana for Delhi at 11 a.m, running at the speed of 60 km/hr. Train B leaves Ludhiana for Delhi by the same route at 2 p.m. on the same day, running at the speed of 72 km/hr. At what time will the two trains meet each other?
(a)2 a.m. on the next day
(b)5 a.m. on the next day
(c)5 p.m. on the next day
(d)None of these
Answer
Answer (as printed): B
Explanation
Distance covered by train A from 11 a.m. to 2 p.m. i.e., in 3 hrs $=(60 \times 3)=180 \mathrm{km}$. Relative speed $=(72-60) \mathrm{km} / \mathrm{hr}=12 \mathrm{km} / \mathrm{hr}$. Time taken to cover 180 km at relative speed $$=\left(\frac{180}{12}\right) \mathrm{hrs}=15 \mathrm{hrs} .$$ So, the two trains will meet 15 hrs after 2 p.m. i.e., at 5 a.m. on the next day.