Thread: Problems on time

Hey could you help me solve problems on time ...

A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes in 36 hours; both are set right at noon on tuesday. The correct time when they both show the same time next would be ..?
I dont get the hang of such questions... help please !!!

ans: 12 noon

Hi! MathLearner. Hope ur having a great time.
ur question can easily be solved by using a small matrix
A B
00:00 00:00
00:06 11:58 after 36 hrs
01:00 11:40
02:00 11:00
one clock is goin forward and other backward even if there min hand come on same position,there hr hand won't. So using matrix for hrs we get
A B
4:00 10:00
6:00 8:00
" "
00:00 00:00
if over all time elapsed is calculated it will be a multiple of 24. Therefore if they were initially set at 12 noon they will again show same time at 12 noon after 180 days