Gem and Archie started cycling at uniform speeds from the same place in opposite direction round 840 m forest trail. Gem took 40 seconds to complete each round while Archie took 60 seconds.
- Find the distance covered per second by Gem in m.
- Find the distance covered per second by Archie in m.
- When the two cyclists next met again at the starting point, how far would Gem have covered? Express the answer in km.
(a)
Distance covered by Gem per second
= 840 ÷ 40
= 21 m
(b)
Distance covered by Archie per second
= 840 ÷ 60
= 14 m
(c)
LCM of 40 and 60 = 120
Time taken for Gem to travel and meet Archie at the starting point = 120 s
Number of rounds covered by Gem in 120 s
= 120 ÷ 40
= 3
Distance that Gem travelled to meet again
= 3 x 840
= 2520 m
1000 m = 1 km
2520 m = 2.52 km
Answer(s): (a) 21 m; (b) 14 m; (c) 2.52 km