A and B are two stations 370 km apart. A train starts from station A at 9:00 A.M. and travels towards station B at a speed of 29 km/hr. Another train starts from station B at 10:00 A.M. and travels towards staion A at a speed of 50 km per/hr. At what time do they meet?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2:19 P.M.
First train (from A) speed = 29 km/hr
Second train (from B) speed = 50 km/hr
Distance = 370 km
By 10:00 A.M., first train covers = 29 × 1 = 29 km
Remaining distance = 370 − 29 = 341 km
Relative speed after 10:00 A.M. = 29 + 50 = 79 km/hr
Time to meet = 341 ÷ 79 = 4 hours 19 minutes
Meeting time = 10:00 A.M. + 4 hours 19 minutes = 2:19 P.M.