Winnie and Japheth started cycling at uniform speeds from the same place in opposite direction round 960 m forest trail. Winnie took 48 seconds to complete each round while Japheth took 64 seconds.
- Find the distance covered per second by Winnie in m.
- Find the distance covered per second by Japheth in m.
- When the two cyclists next met again at the starting point, how far would Winnie have covered? Express the answer in km.
(a)
Distance covered by Winnie per second
= 960 ÷ 48
= 20 m
(b)
Distance covered by Japheth per second
= 960 ÷ 64
= 15 m
(c)
LCM of 48 and 64 = 192
Time taken for Winnie to travel and meet Japheth at the starting point = 192 s
Number of rounds covered by Winnie in 192 s
= 192 ÷ 48
= 4
Distance that Winnie travelled to meet again
= 4 x 960
= 3840 m
1000 m = 1 km
3840 m = 3.84 km
Answer(s): (a) 20 m; (b) 15 m; (c) 3.84 km