Erika and Riordan started cycling at uniform speeds from the same place in opposite direction round 840 m forest trail. Erika took 40 seconds to complete each round while Riordan took 70 seconds.
- Find the distance covered per second by Erika in m.
- Find the distance covered per second by Riordan in m.
- When the two cyclists next met again at the starting point, how far would Erika have covered? Express the answer in km.
(a)
Distance covered by Erika per second
= 840 ÷ 40
= 21 m
(b)
Distance covered by Riordan per second
= 840 ÷ 70
= 12 m
(c)
LCM of 40 and 70 = 280
Time taken for Erika to travel and meet Riordan at the starting point = 280 s
Number of rounds covered by Erika in 280 s
= 280 ÷ 40
= 7
Distance that Erika travelled to meet again
= 7 x 840
= 5880 m
1000 m = 1 km
5880 m = 5.88 km
Answer(s): (a) 21 m; (b) 12 m; (c) 5.88 km