Mike and Carol raced over 36km, with Mike running at 12km/h and Carol at 8km/h. Mike finished in 3 hours. He ran 4km further than Carol each hour. So when Mike finished, Carol was still 12km from the finish line, and Mike beat Carol by 3 hours.

1. 2 objects moving in the same
direction at the same time…
It’s all about understanding the
question.

2. Story of Mike & Carol
Mike and Carol had a foot race. Mike ran at an average
speed of 12km/h. Carol ran at a average speed of
8km/h. They both did not stop along the way.
If the distance of the race from start to finish was
36km,
a)how long did it take the winner to complete the race?
•for every hour that they both ran, how many km more
did the winner run?
•how far away was the loser from the finishing line
when the winner crossed it?
b)how many hours/minutes did the winner finish ahead
of the loser?

3. Mike
Carol 8 km
12 km 12 km 12 km
8 km8 km
36km
1hr
1hr 3hr2hr
2hr 3hr
start
Carol
 Speed = 8km/h
 Time = 3 hours
 Distance travelled
 = 3 x 8 = 24 km
Mike
 Distance = 36 km
Speed = 12 km/h
 Time = 3 hours

4. Kenny and Alice started walking together
along a 24-km forest trail at a speed of
8km/h and 6km/h respectively.
After completing ¾ of the trail, Kenny
rested until Alice caught up with him. How
long did he rest?
24km
Kenny
D = ¾ of 24 km
= 18km
S = 8 km/h
T = 18 / 8
= 2 ¼ hrs
Alice
D = 18km
S = 6 km/h
T = 18 / 6
= 3 hrs

5. Mike
Carol 8 km
12 km 12 km 12 km
8 km8 km
36km
1hr
1hr 3hr2hr
2hr 3hr
start
4km
(a) Mike / 3 hours
(b) 12km – 8km = 4km
(c) 4km x 3hrs = 12km
(d) 8km → 1 hr
12km → 1 ½ hr
8 km
12 km

6. Mike
Carol 8 km
12 km 12 km 12 km
8 km8 km
36km
1hr
1hr 3hr2hr
2hr 3hr
start
4km
(a) Mike / 3 hours
(b) 12km – 8km = 4km
(c) 4km x 3hrs = 12km
(d) 8km → 1 hr
12km → 1 ½ hr
8 km
12 km