Abi and Vincent started cycling at uniform speeds from the same place in opposite direction round 900 m forest trail. Abi took 45 seconds to complete each round while Vincent took 50 seconds.
- Find the distance covered per second by Abi in m.
- Find the distance covered per second by Vincent in m.
- When the two cyclists next met again at the starting point, how far would Abi have covered? Express the answer in km.
(a)
Distance covered by Abi per second
= 900 ÷ 45
= 20 m
(b)
Distance covered by Vincent per second
= 900 ÷ 50
= 18 m
(c)
LCM of 45 and 50 = 450
Time taken for Abi to travel and meet Vincent at the starting point = 450 s
Number of rounds covered by Abi in 450 s
= 450 ÷ 45
= 10
Distance that Abi travelled to meet again
= 10 x 900
= 9000 m
1000 m = 1 km
9000 m = 9 km
Answer(s): (a) 20 m; (b) 18 m; (c) 9 km