Irene and Pierre started cycling at uniform speeds from the same place in opposite direction round 1200 m forest trail. Irene took 40 seconds to complete each round while Pierre took 50 seconds.
- Find the distance covered per second by Irene in m.
- Find the distance covered per second by Pierre 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
= 1200 ÷ 40
= 30 m
(b)
Distance covered by Pierre per second
= 1200 ÷ 50
= 24 m
(c)
LCM of 40 and 50 = 200
Time taken for Irene to travel and meet Pierre 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 1200
= 6000 m
1000 m = 1 km
6000 m = 6 km
Answer(s): (a) 30 m; (b) 24 m; (c) 6 km