Esther and Ben started cycling at uniform speeds from the same place in opposite direction round 1200 m forest trail. Esther took 50 seconds to complete each round while Ben took 60 seconds.
- Find the distance covered per second by Esther in m.
- Find the distance covered per second by Ben in m.
- When the two cyclists next met again at the starting point, how far would Esther have covered? Express the answer in km.
(a)
Distance covered by Esther per second
= 1200 ÷ 50
= 24 m
(b)
Distance covered by Ben per second
= 1200 ÷ 60
= 20 m
(c)
LCM of 50 and 60 = 300
Time taken for Esther to travel and meet Ben at the starting point = 300 s
Number of rounds covered by Esther in 300 s
= 300 ÷ 50
= 6
Distance that Esther travelled to meet again
= 6 x 1200
= 7200 m
1000 m = 1 km
7200 m = 7.2 km
Answer(s): (a) 24 m; (b) 20 m; (c) 7.2 km