PROBLEM:
Four rollerbladers exercise around separate circular paths; each path is one third of a mile in length. They start simultaneously at the black spots, with speeds of six, nine, twelve, and fifteen miles per hour. By the end of the 20 minute workout, how many times will they have simultaneously returned to the spots where they started?
Four rollerbladers exercise around separate circular paths; each path is one third of a mile in length. They start simultaneously at the black spots, with speeds of six, nine, twelve, and fifteen miles per hour. By the end of the 20 minute workout, how many times will they have simultaneously returned to the spots where they started?
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
SOLUTION:
In 1/3 of an hour (20 minutes), they travel 1/3 of a mile 6, 9, 12, and 15 times. The largest number these numbers are all divisible by is 3. They return to their original positions 3 times in 20 minutes: after 6 2/3, 13 1/3, and 20 minutes
Post a Comment