Question

There are two clocks on a wall, both set right at 10:00 a.m. One clock is losing 2 minutes per hour and the other clock is gaining 3 minutes per hour. If the clock which is losing 2 minutes per hour shows 3:00 p.m. the next day, what time does the clock gaining 3 minutes per hour show?

• A. 5.30 p.m.
• B. 4.00 p.m.
• C. 4.15 p.m.
• D. 5.00 p.m.
• E. None

Answer 1

Answer: (A)

5.30 p.m.

In each hour, the time difference between the 2 clocks will increase by 5mins
time passed $=24+2+3=29hrs$ on clock 1
Real time on clock $1=4p.m$
difference between 2 clocks=$5\ast 30=150mins$,
time on clock $2=3hrs+2hrs+30mins$
$=5.30p.m$