Question

Two clocks were set right at noon on Sunday. One gains $2$ min and the other loses $3$ min in $24$ hours. What will be the true time when the first clock indicates $3$ PM on Wednesday?

• A. $2:38PM$
• B. $2:54PM$
• C. $2:23PM$
• D. $2:48PM$

Answer 1

The correct option is B $2:54PM$

Time from noon on Sunday to $3PM$ on Wednesday $=75Hours$.
$24hours2min$ of the first clock $=24hours$ of the correct one.
$\Rightarrow 1hour$ of the first clock $=24\times \frac{30}{721}hours$ of correct one.
$\Rightarrow 75hours$ of the first clock $=24\times 30\times \frac{75}{721}hours$ of correct one $=74hours53.7min$
Hence the answer is $2:54PM$.