Question
Train M crosses a platform in 60 seconds and overtakes a
man running in the opposite direction at 12 km/h in 30 seconds. Train N passes Train M, which is moving in the same direction, in 158.4 seconds, and the ratio of the length of Train N to the length of the platform is 9:5. If Train M's speed is 60 km/h and Train N moves faster than Train M, what is the difference in time taken for Train N to cross the same platform and for Train M to cross Train N moving in the opposite direction?Solution
Length of train M = x Length of train N = y Speed of train M = 60 kmph Length of platform = a Speed of train N = z x + a = 60 * 5/18 * 60 x + a = 1000 x = (60 + 12) * 5/18 * 30 x = 600 m Length of platform = 1000 – 600 = 400 m Length of train N = 400 * 9/5 = 720 m 720 + 600 = (z – 60) * 5/18 * 158.4 z – 60 = 30 z = 90 kmph Time taken by train N crosses a platform = (400 + 720)/ (90 * 5/18) = 44.8 seconds Time taken by train M crosses train N = (720 + 600)/ ((90 + 60) * 5/18) = 31.68 seconds Required difference = 44.8 – 31.68 = 13.12 seconds
A series is 48, 129, 298, 587, 1028, 1653
If another series 150, ___, m, ___, follows the same pattern as the given number series, then find th...
35 36 68 207 836 4205
...15 13 28 24 54 52
...114 106 102 100 99 ?
...12, 24, 72, 288, 1440, ?
13, 14, 18, 27, 43, ?
20 25 54 165 662 ?
...6 5 40 32 249 240
92, 51, 21, 13.5, x, 4.25
find the value of (10x + x -5)?
3 25 173 1041 5201 20809
10 a �...