Xylia and Harry started cycling at uniform speeds from the same place in opposite direction round 960 m forest trail. Xylia took 48 seconds to complete each round while Harry took 60 seconds.
- Find the distance covered per second by Xylia in m.
- Find the distance covered per second by Harry in m.
- When the two cyclists next met again at the starting point, how far would Xylia have covered? Express the answer in km.
(a)
Distance covered by Xylia per second
= 960 ÷ 48
= 20 m
(b)
Distance covered by Harry per second
= 960 ÷ 60
= 16 m
(c)
LCM of 48 and 60 = 240
Time taken for Xylia to travel and meet Harry at the starting point = 240 s
Number of rounds covered by Xylia in 240 s
= 240 ÷ 48
= 5
Distance that Xylia travelled to meet again
= 5 x 960
= 4800 m
1000 m = 1 km
4800 m = 4.8 km
Answer(s): (a) 20 m; (b) 16 m; (c) 4.8 km