Diana and Asher started cycling at uniform speeds from the same place in opposite direction round 960 m forest trail. Diana took 48 seconds to complete each round while Asher took 60 seconds.
- Find the distance covered per second by Diana in m.
- Find the distance covered per second by Asher in m.
- When the two cyclists next met again at the starting point, how far would Diana have covered? Express the answer in km.
(a)
Distance covered by Diana per second
= 960 ÷ 48
= 20 m
(b)
Distance covered by Asher per second
= 960 ÷ 60
= 16 m
(c)
LCM of 48 and 60 = 240
Time taken for Diana to travel and meet Asher at the starting point = 240 s
Number of rounds covered by Diana in 240 s
= 240 ÷ 48
= 5
Distance that Diana travelled to meet again
= 5 x 960
= 4800 m
1000 m = 1 km
4800 m = 4.8 km
Answer(s): (a) 20 m; (b) 16 m; (c) 4.8 km