Time, Speed & Distance
Aptitude

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Q.

A train left station $X$ at $A$ hour $B$ minutes. It reached station $Y$ at $B$ hour $C$ minutes on the same day, after travelling $C$ hours $A$ minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of $A$ is:

 A.

0

 B.

1

 C.

2

 D.

3

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Solution:
Option(A) is correct

$A$ hours + $C$ hours = $B$ hours -------- (i)

$A$, $C$ and $B$ cannot have values greater than or equal to 24

$B$ minutes + $A$ minutes = $C$ minutes -------- (ii)

Looking at the two equations, we get that no value of $A$ satisfies both the equations.
Hence, option A


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