Rachel and Vaidev started cycling at uniform speeds from the same place in opposite direction round 1040 m forest trail. Rachel took 52 seconds to complete each round while Vaidev took 65 seconds.
- Find the distance covered per second by Rachel in m.
- Find the distance covered per second by Vaidev in m.
- When the two cyclists next met again at the starting point, how far would Rachel have covered? Express the answer in km.
(a)
Distance covered by Rachel per second
= 1040 ÷ 52
= 20 m
(b)
Distance covered by Vaidev per second
= 1040 ÷ 65
= 16 m
(c)
LCM of 52 and 65 = 260
Time taken for Rachel to travel and meet Vaidev at the starting point = 260 s
Number of rounds covered by Rachel in 260 s
= 260 ÷ 52
= 5
Distance that Rachel travelled to meet again
= 5 x 1040
= 5200 m
1000 m = 1 km
5200 m = 5.2 km
Answer(s): (a) 20 m; (b) 16 m; (c) 5.2 km