A train 4

A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively.

Find the length and speed of the train.

Correct answer:

x =  100 m
v =  20 m/s

Step-by-step explanation:

a=400 m b=260 m t1​=25 s t2​=18 s  v = s/t  t1​ = va+x​ t2​ = vb+x​  t1​⋅ v=a+x t2​⋅ v=b+x 25⋅ v=400+x 18⋅ v=260+x  25v−x=400 18v−x=260  Row2−2518​⋅ Row1→Row2 25v−x=400 −0.28x=−28  x=−0.28−28​=100 v=25400+x​=25400+100​=20  v=20 x=100=100 m
v=20=20 m/s   Verifying Solution:   v2​=v→ km/h=v⋅ 3.6  km/h=20⋅ 3.6  km/h=72 km/h

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