A train can cross a tunnel of length 600 m in 54 second, and it can cross a 350 m long bridge in 36 second.

A train can cross a tunnel of length 600 m in 54 second, and it can cross a 350 m long bridge in 36 second. Which of the following statements is/are correct?
(i) The speed of the train is 60 km/h.
(ii) The length of the train is 150 m.

Options
a) Only statement (ii)
b) Only statement (i)
c) Neither statement (i) nor (ii)
c) Both statement (i) or (ii)

Solution

As per question
Tunnel Length (D₁) = 600 m
Time (T₁) = 54 sec.
Speed (S) = ?
D₂ = 350 m
T₂= 36 sec.
Let Train length = x
S = $\frac {x + D}{T}$
$\frac {x + 600}{54}$ = $\frac {x + 350}{36}$
36x + 21600 = 54x + 18900
18x = 2700
x = 150
Length of the train = 150 m.