Anna and Ken started cycling at uniform speeds from the same place in opposite direction round 880 m forest trail. Anna took 40 seconds to complete each round while Ken took 55 seconds.
- Find the distance covered per second by Anna in m.
- Find the distance covered per second by Ken 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
= 880 ÷ 40
= 22 m
(b)
Distance covered by Ken per second
= 880 ÷ 55
= 16 m
(c)
LCM of 40 and 55 = 440
Time taken for Anna to travel and meet Ken at the starting point = 440 s
Number of rounds covered by Anna in 440 s
= 440 ÷ 40
= 11
Distance that Anna travelled to meet again
= 11 x 880
= 9680 m
1000 m = 1 km
9680 m = 9.68 km
Answer(s): (a) 22 m; (b) 16 m; (c) 9.68 km