Anna and Jack started cycling at uniform speeds from the same place in opposite direction round 1200 m forest trail. Anna took 48 seconds to complete each round while Jack took 60 seconds.
- Find the distance covered per second by Anna in m.
- Find the distance covered per second by Jack 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
= 1200 ÷ 48
= 25 m
(b)
Distance covered by Jack per second
= 1200 ÷ 60
= 20 m
(c)
LCM of 48 and 60 = 240
Time taken for Anna to travel and meet Jack at the starting point = 240 s
Number of rounds covered by Anna in 240 s
= 240 ÷ 48
= 5
Distance that Anna travelled to meet again
= 5 x 1200
= 6000 m
1000 m = 1 km
6000 m = 6 km
Answer(s): (a) 25 m; (b) 20 m; (c) 6 km