Lucy and Eric started cycling at uniform speeds from the same place in opposite direction round 1080 m forest trail. Lucy took 45 seconds to complete each round while Eric took 60 seconds.
- Find the distance covered per second by Lucy in m.
- Find the distance covered per second by Eric in m.
- When the two cyclists next met again at the starting point, how far would Lucy have covered? Express the answer in km.
(a)
Distance covered by Lucy per second
= 1080 ÷ 45
= 24 m
(b)
Distance covered by Eric per second
= 1080 ÷ 60
= 18 m
(c)
LCM of 45 and 60 = 180
Time taken for Lucy to travel and meet Eric at the starting point = 180 s
Number of rounds covered by Lucy in 180 s
= 180 ÷ 45
= 4
Distance that Lucy travelled to meet again
= 4 x 1080
= 4320 m
1000 m = 1 km
4320 m = 4.32 km
Answer(s): (a) 24 m; (b) 18 m; (c) 4.32 km