Question

There are two clocks, both set to show $10:00$ p.m. on ${21}^{\text{st}}$ January $2010.$ One clock gains $2$ minutes in an hour and the other clock loses $5$ minutes in an hour. Then by how many minutes do the two clocks differ at $4:00$ p.m. on ${22}^{\text{nd}}$ January $2010$?

• A. $126$ minutes
• B. $136$ minutes
• C. $96$ minutes
• D. $106$ minutes

Answer 1

The correct option is A $126$ minutes

One clock gains $2$ minutes in an hour.
Other clock loses $5$ minutes in an hour.
Time period between $10:00$ p.m. $2010$ and $4:00$ p.m. $2010=18$ hours
$\therefore$ Required difference
$=2\times 18-(-5\times 18)$ minutes
$=126$ minutes