Irene and Nick started cycling at uniform speeds from the same place in opposite direction round 1000 m forest trail. Irene took 40 seconds to complete each round while Nick took 50 seconds.
- Find the distance covered per second by Irene in m.
- Find the distance covered per second by Nick in m.
- When the two cyclists next met again at the starting point, how far would Irene have covered? Express the answer in km.
(a)
Distance covered by Irene per second
= 1000 ÷ 40
= 25 m
(b)
Distance covered by Nick per second
= 1000 ÷ 50
= 20 m
(c)
LCM of 40 and 50 = 200
Time taken for Irene to travel and meet Nick at the starting point = 200 s
Number of rounds covered by Irene in 200 s
= 200 ÷ 40
= 5
Distance that Irene travelled to meet again
= 5 x 1000
= 5000 m
1000 m = 1 km
5000 m = 5 km
Answer(s): (a) 25 m; (b) 20 m; (c) 5 km