Nicole and Sam started cycling at uniform speeds from the same place in opposite direction round 840 m forest trail. Nicole took 56 seconds to complete each round while Sam took 70 seconds.
- Find the distance covered per second by Nicole in m.
- Find the distance covered per second by Sam in m.
- When the two cyclists next met again at the starting point, how far would Nicole have covered? Express the answer in km.
(a)
Distance covered by Nicole per second
= 840 ÷ 56
= 15 m
(b)
Distance covered by Sam per second
= 840 ÷ 70
= 12 m
(c)
LCM of 56 and 70 = 280
Time taken for Nicole to travel and meet Sam at the starting point = 280 s
Number of rounds covered by Nicole in 280 s
= 280 ÷ 56
= 5
Distance that Nicole travelled to meet again
= 5 x 840
= 4200 m
1000 m = 1 km
4200 m = 4.2 km
Answer(s): (a) 15 m; (b) 12 m; (c) 4.2 km