Data sufficiency question:

What are the speeds two trains travels with 80 yards and 85 yards long respectively? (Assume that former is faster than later)
a) they take 75 seconds to pass each other in opposite direction.
b) they take 37.5 seconds to pass each other in same direction

Let the speeds be x and y
When moves in same direction the relative speed,
x ? y = (85?80)37.5 = 0.13 - - - - - (I)
When moves in opposite direction the relative speed, x + y = 165/75 = 2.2 - - - - (II)
Now, equation I + equation II gives, 2x = 0.13 + 2.2 = 2.33 ? x = 1.165
From equation l, x ? y = 0.13 ? y = 1.165 ? 0.13 = 1.035
Therefore the speeds are 1.165 yards/sec and 1.035 yards/sec. _{Your Comment}

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