a) 38 m/sec
b) 42 m/sec
c) 46 m/sec
d) 50 m/sec
Answer: b
Explanation: Let the speeds of the faster and slower trains be x m/sec and y m/sec respectively.
Then, $$\frac{{240}}{{{\text{x}} – {\text{y}}}}$$ = 60
x – y = 4 . . . . . . . . (i)
And, $$\frac{{240}}{{{\text{x}} + {\text{y}}}}$$ = 3
x + y = 80 . . . . . . . . (ii)
Adding (i) and (ii)
2x = 84
x = 42
Putting x = 42 in (i), we get: y = 38
Hence, speed of faster train = 42 m/sec
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