An easy problem for MrBank,
A man, who went out between five and six o'clock an returned between six and seven o'clock, found that the hands of the watch had exchanged places. when did he go out?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Not the answer you are looking for? Search for more explanations.
The hour hand must move to where the minute hand was at an hour ago and vice versa.
We know the hour already, 5:00. Let m = the minute after 5:00
So he left at 5:32:30 and came back at 6:27:30
Nope that'snot the right answer, it's not 30 seconds.
The angle between the clock faces can be calculated as \[\left| 30h+m/2-6m \right|\]
Plugging in 5 for h, 32.5 for m for the 5:00 hr and 6 for h and 27.5 for m for 6:00 shows the angle between the clock hands being equal...
Wouldn't the angle between hands have to be equal if the hands exchanged places?
Another way to solve this is to look at ratios...the hour hand will go from 5 to 6 in the same time it takes minute hand to go round the clock, they also move proportionally.
we know he went out sometime between 5:30 -5:35 and returned between 6:25-6:30
Let x,y be in minutes where: 30 y=12(x-30)
x = (y-25)/5*60 --> x = 12(y-25)
Solving this system:
x = 32.3 or 32 min 18 sec
y = 27.7 or 27 min 42 sec
He left at 5:32:18 and returned at 6:27:42