Emma and Lee started cycling at uniform speeds from the same place in opposite direction round 800 m forest trail. Emma took 40 seconds to complete each round while Lee took 50 seconds.
- Find the distance covered per second by Emma in m.
- Find the distance covered per second by Lee in m.
- When the two cyclists next met again at the starting point, how far would Emma have covered? Express the answer in km.
(a)
Distance covered by Emma per second
= 800 ÷ 40
= 20 m
(b)
Distance covered by Lee per second
= 800 ÷ 50
= 16 m
(c)
LCM of 40 and 50 = 200
Time taken for Emma to travel and meet Lee at the starting point = 200 s
Number of rounds covered by Emma in 200 s
= 200 ÷ 40
= 5
Distance that Emma travelled to meet again
= 5 x 800
= 4000 m
1000 m = 1 km
4000 m = 4 km
Answer(s): (a) 20 m; (b) 16 m; (c) 4 km