Question

A clock gains 2 minutes per day and another loses 3 minutes per day. Both the clocks are started on a correct time at a given instant. They will again show the correct time for an instant within

Answer 1

(a) a week (b) a month
(c) six months (d) one year

Answer 2

I tried this before but could not formulate the equation. hmmmm....

Answer 3

wait, is this a digital clock? like is it 12 hours or 24 hours we're going for?

Answer 4

I think 12 hours clock

Answer 5

one of the easier ways would be is to multiply to figure out the total number of minutes there are in the 12 hours and divide it by 5.

Answer 6

Each day, the clocks have gain a 5-minute gap between each other, so how big does the gap have to be to become 12 hours :)

Answer 7

I would say... 720 minutes per 12 hours, so the 2 minutes clock will be accurate again in 720/2/2 days = 180 days, the -3 minutes clock in 720/3/2 = 120 days. LCM of 180 and 120 is 360, so once a year?

Answer 8

But it's late here so my ability to reason left hours ago =)

Answer 9

Yes once a year is the correct answer.

Answer 10

I think that is right......

Answer 11

Yes, it matches the answer key

Answer 12

Good way to set it up.

Answer 13

oooohhh ok:) its 1:25 in the morning here :S lol

Answer 14

Haha where are you 14yamaka? It's 12:25am here.

Answer 15

japan haha

Answer 16

As we are giving away our local time it's 9:55 PM here.

Answer 17

Where are you FSM?

Answer 18

and where are you Fool?

Answer 19

I think FFM is in India

Answer 20

I am from India and FSM is from Australia.

Answer 21

Ah tis but early for you FFM :-P
I'm in Perth, Australia.

Answer 22

after 3600 days

Answer 23

3600 days = 10 years o.O

Answer 24

whoa, that's 10 years

Answer 25

Why the 2 minutes clock will be accurate again in 720/2/2 days?

Answer 26

2 minute clock after 1800 days
3 minute clock after 1200 days

Answer 27

Is it 1800 or 180?

Answer 28

1800

Answer 29

I've shown my reasoning above, I got 180 days. I don't know HOW it could be 1800 or 1200 days, can you elaborate amir.sat?

Answer 30

So...?