Shiyun and Rael started cycling at uniform speeds from the same place in opposite direction round 810 m forest trail. Shiyun took 45 seconds to complete each round while Rael took 54 seconds.
- Find the distance covered per second by Shiyun in m.
- Find the distance covered per second by Rael in m.
- When the two cyclists next met again at the starting point, how far would Shiyun have covered? Express the answer in km.
(a)
Distance covered by Shiyun per second
= 810 ÷ 45
= 18 m
(b)
Distance covered by Rael per second
= 810 ÷ 54
= 15 m
(c)
LCM of 45 and 54 = 270
Time taken for Shiyun to travel and meet Rael at the starting point = 270 s
Number of rounds covered by Shiyun in 270 s
= 270 ÷ 45
= 6
Distance that Shiyun travelled to meet again
= 6 x 810
= 4860 m
1000 m = 1 km
4860 m = 4.86 km
Answer(s): (a) 18 m; (b) 15 m; (c) 4.86 km