A train takes 8 seconds to reach a telegraph pole and 16 seconds to cross a pole 264 meters long. What is the length of the train?
- 280M
- 276m
- 264m
- 258m
Let the length of the train be ‘x’ meters and it's the speed by y m/s
➨ Distance = Speed × time
➨ time = distance/speed
➨ x/y = 8
➨ y = x/8 ----(i)
Also,
➨ x+264/y = 16
➨ x+264 = 16y -----(ii)
Put the value of y from equation (i) to (ii)
➨ x+264 = 16 × x/8
➨ 8(x+264) = 16x
➨ 8x + 2112 = 16x
➨ 8x = 2112
➨ x = 2112/8
➨ x = 264
