Penelope and Billy started cycling at uniform speeds from the same place in opposite direction round 880 m forest trail. Penelope took 44 seconds to complete each round while Billy took 55 seconds.
- Find the distance covered per second by Penelope 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 Penelope have covered? Express the answer in km.
(a)
Distance covered by Penelope per second
= 880 ÷ 44
= 20 m
(b)
Distance covered by Billy per second
= 880 ÷ 55
= 16 m
(c)
LCM of 44 and 55 = 220
Time taken for Penelope to travel and meet Billy at the starting point = 220 s
Number of rounds covered by Penelope in 220 s
= 220 ÷ 44
= 5
Distance that Penelope travelled to meet again
= 5 x 880
= 4400 m
1000 m = 1 km
4400 m = 4.4 km
Answer(s): (a) 20 m; (b) 16 m; (c) 4.4 km