A train travelling at a speed of 60 km/h leaves station A at 7:00 a.m., and another train travelling at a speed of 84 km/h starts from station A at 9:30 a.m. in the same direction on a parallel track. At what distance (in km) from station A and after how many hours of travel of the second train will they be together? Express your answer in the same order.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 525, 6.25.
Let the trains meet after t hours of travel of the second train.
Distance covered by first train in t + 2.5 hours: 60(t + 2.5)
Distance covered by second train in t hours: 84t
⇒ 60(t + 2.5) = 84t
⇒ 60t + 150 = 84t
⇒ 24t = 150
⇒ t = 6.25
Distance from station A = 84 × 6.25 = 525 km