Message A Palindrome is a whole number that reads the same forwards as backwards (121 or 1441). If we neglect the colon, certain times displayed on a digital watch are palindromes. Three examples are 1:01, 4:44, 12:21. How many times during a 12 hour period will there be palindromes shown on the face of a digital clock?

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."