Lynn and Simon started cycling at uniform speeds from the same place in opposite direction round 1120 m forest trail. Lynn took 40 seconds to complete each round while Simon took 56 seconds.
- Find the distance covered per second by Lynn in m.
- Find the distance covered per second by Simon in m.
- When the two cyclists next met again at the starting point, how far would Lynn have covered? Express the answer in km.
(a)
Distance covered by Lynn per second
= 1120 ÷ 40
= 28 m
(b)
Distance covered by Simon per second
= 1120 ÷ 56
= 20 m
(c)
LCM of 40 and 56 = 280
Time taken for Lynn to travel and meet Simon at the starting point = 280 s
Number of rounds covered by Lynn in 280 s
= 280 ÷ 40
= 7
Distance that Lynn travelled to meet again
= 7 x 1120
= 7840 m
1000 m = 1 km
7840 m = 7.84 km
Answer(s): (a) 28 m; (b) 20 m; (c) 7.84 km