Anna and Albert started cycling at uniform speeds from the same place in opposite direction round 900 m forest trail. Anna took 45 seconds to complete each round while Albert took 60 seconds.
- Find the distance covered per second by Anna in m.
- Find the distance covered per second by Albert in m.
- When the two cyclists next met again at the starting point, how far would Anna have covered? Express the answer in km.
(a)
Distance covered by Anna per second
= 900 ÷ 45
= 20 m
(b)
Distance covered by Albert per second
= 900 ÷ 60
= 15 m
(c)
LCM of 45 and 60 = 180
Time taken for Anna to travel and meet Albert at the starting point = 180 s
Number of rounds covered by Anna in 180 s
= 180 ÷ 45
= 4
Distance that Anna travelled to meet again
= 4 x 900
= 3600 m
1000 m = 1 km
3600 m = 3.6 km
Answer(s): (a) 20 m; (b) 15 m; (c) 3.6 km