A train of length 200 m traveling at `30 ms ^(-1)` overtakes another train of length 300 m traveling at `20 ms ^(-1).` The time taken by the first train to pass the second is

Options

A. 30 sec
B. 40 sec
C. 50 sec
D. 60 sec

Answer

C

Explanation

Total distance travelled = (300 + 200) m
= 500 m
Relative velocity `= ( 30 - 20) ms^(-1) = 10 ms^(-1)`
time taken `= (500)/( 10 )=50 s`