Elyse and Carl started cycling at uniform speeds from the same place in opposite direction round 960 m forest trail. Elyse took 40 seconds to complete each round while Carl took 64 seconds.
- Find the distance covered per second by Elyse in m.
- Find the distance covered per second by Carl in m.
- When the two cyclists next met again at the starting point, how far would Elyse have covered? Express the answer in km.
(a)
Distance covered by Elyse per second
= 960 ÷ 40
= 24 m
(b)
Distance covered by Carl per second
= 960 ÷ 64
= 15 m
(c)
LCM of 40 and 64 = 320
Time taken for Elyse to travel and meet Carl at the starting point = 320 s
Number of rounds covered by Elyse in 320 s
= 320 ÷ 40
= 8
Distance that Elyse travelled to meet again
= 8 x 960
= 7680 m
1000 m = 1 km
7680 m = 7.68 km
Answer(s): (a) 24 m; (b) 15 m; (c) 7.68 km