Illuminations: Clock Hands II
Clock Hands II
A pocket watch is placed next to a digital clock. Several times a day, the product of the hours and minutes on the digital clock is equal to the number of degrees between the hands of the watch. (The watch does not have a second hand.) As you can see, 10:27 is not one of those times — the angle between the hands is not 270°. If fractional minutes aren’t allowed, find the times at which the product of the hours and minutes is equal to the number of degrees between the hands.
This brainteaser was written by Derrick Niederman.
Problem and solution
What are you looking for?
Organization
Website URL
Type of Resource
PDF File
Assigned Categories
Resource k12
Clock Hands II
A pocket watch is placed next to a digital clock. Several times a day, the product of the hours and minutes on the digital clock is equal to the number of degrees between the hands of the watch. (The watch does not have a second hand.) As you can see, 10:27 is not one of those times — the angle between the hands is not 270°. If fractional minutes aren’t allowed, find the times at which the product of the hours and minutes is equal to the number of degrees between the hands.
This brainteaser was written by Derrick Niederman.
Problem and solution
What are you looking for?
Organization
Website URL
Type of Resource
PDF File