Question

If the hand of a clock coincide for every 66 minutes, then how many minutes does it lose/gain in a day?

Answer 1

Clocks coincide every 65 5/11 minutes. So the time lost here is (66) - (65 5/11) = 6/11. Multiplying by 11 on both sides we 66/121. Ans should be 66/121 right?

Answer 2

Answer:

12 mins gain

Step-by-step explanation:

let us take 12 hours clock time

for single rotation it will take 12 hours = 720 min

if hands coinside for every 66 mins

then in 12 hours they coinside for 12 times but by removing initial time 00:00 the it is 11 times from staring of day to afternoon 12:00

total time upto afternoon as per the statement

11*66 min= 726 min

which is 6 mins more

for 12 hous 6 min for double rotation (24) hours 12 mins

loss/gain

as it is showing 726min at a place of 720 mins so it is clear that day is gaining more time