Trains Boats and Streams Practice Test 2 with solutions

Let the length of the platform = x m
Length of the train = 320 meters
Speed of the train = 120 kmph
Time = 24 seconds
So, $\frac{24}{60\times 60}$ = $\frac{\frac{\mathit{x}+320}{1000}}{120}$
$\frac{24\times 120}{3600}$ = $\frac{\mathit{x}+320}{1000}$
$\frac{4}{5}$ = $\frac{\mathit{x}+320}{1000}$
4,000 = 5x + 1,600
5x = 2,400
x = 480 meters
Man crosses the same platform in 4 minutes = 4 × 60
= 240 seconds
Speed of the man = $\frac{\mathrm{Distance}}{\mathrm{Time}}$
= $\frac{480}{240}$ = 2 m/s