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length of 1st train L1= 120m
length of 2nd train L2= 80m
speed of 1st train S1=42 km/hr
speed of 2nd train S2 = 30 km/hr
speed= distance/ time
S1 + S2 = (L1 + L2)/ time
(42 + 30) km/hr = (120+80) m / time
72 km/hr = 200 m / time
(now convert the speed from km/hr to m/s by multipying 5/18 )
72*5/18 = 200 / time
20 m/s = 200 m / time
time= 200/ 20
time = 10 seconds
So the trains will cross each other in 10 seconds.
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