Joelle and Billy started cycling at uniform speeds from the same place in opposite direction round 880 m forest trail. Joelle took 40 seconds to complete each round while Billy took 55 seconds.
- Find the distance covered per second by Joelle in m.
- Find the distance covered per second by Billy in m.
- When the two cyclists next met again at the starting point, how far would Joelle have covered? Express the answer in km.
(a)
Distance covered by Joelle per second
= 880 ÷ 40
= 22 m
(b)
Distance covered by Billy per second
= 880 ÷ 55
= 16 m
(c)
LCM of 40 and 55 = 440
Time taken for Joelle to travel and meet Billy at the starting point = 440 s
Number of rounds covered by Joelle in 440 s
= 440 ÷ 40
= 11
Distance that Joelle travelled to meet again
= 11 x 880
= 9680 m
1000 m = 1 km
9680 m = 9.68 km
Answer(s): (a) 22 m; (b) 16 m; (c) 9.68 km