Practicing Success
Two stations are 120 km apart on a straight line. A train starts from station A at 8 a.m. and moves towards station B at 20 km/h, and another train starts from station B at 9 a.m. and travels towards station A at a speed of 30 km/h. At what time will they meet? |
10:30 a.m. 10:00 a.m. 11:00 a.m. 11:30 a.m |
11:00 a.m. |
Distance between two stations = 120 km From 8:00 am to 9:00 am , Only train A travels . so , Distance traveled = 20 × 1 = 20 km Remaining distance = 120 - 20 = 100 km Relative speed = 20 + 30 = 50 km/h ( when both trains moves in opposite direction ) So , Time taken = \(\frac{100}{50}\) = 2 hours Hence , both the trains will meet at 9:00 am + 2 hours = 11:00 am |