Kylie and Peter started cycling at uniform speeds from the same place in opposite direction round 960 m forest trail. Kylie took 40 seconds to complete each round while Peter took 60 seconds.
- Find the distance covered per second by Kylie in m.
- Find the distance covered per second by Peter in m.
- When the two cyclists next met again at the starting point, how far would Kylie have covered? Express the answer in km.
(a)
Distance covered by Kylie per second
= 960 ÷ 40
= 24 m
(b)
Distance covered by Peter per second
= 960 ÷ 60
= 16 m
(c)
LCM of 40 and 60 = 120
Time taken for Kylie to travel and meet Peter at the starting point = 120 s
Number of rounds covered by Kylie in 120 s
= 120 ÷ 40
= 3
Distance that Kylie travelled to meet again
= 3 x 960
= 2880 m
1000 m = 1 km
2880 m = 2.88 km
Answer(s): (a) 24 m; (b) 16 m; (c) 2.88 km