Emily and Zane started cycling at uniform speeds from the same place in opposite direction round 840 m forest trail. Emily took 40 seconds to complete each round while Zane took 56 seconds.
- Find the distance covered per second by Emily in m.
- Find the distance covered per second by Zane in m.
- When the two cyclists next met again at the starting point, how far would Emily have covered? Express the answer in km.
(a)
Distance covered by Emily per second
= 840 ÷ 40
= 21 m
(b)
Distance covered by Zane per second
= 840 ÷ 56
= 15 m
(c)
LCM of 40 and 56 = 280
Time taken for Emily to travel and meet Zane at the starting point = 280 s
Number of rounds covered by Emily in 280 s
= 280 ÷ 40
= 7
Distance that Emily travelled to meet again
= 7 x 840
= 5880 m
1000 m = 1 km
5880 m = 5.88 km
Answer(s): (a) 21 m; (b) 15 m; (c) 5.88 km