Yen and Japheth started cycling at uniform speeds from the same place in opposite direction round 1200 m forest trail. Yen took 40 seconds to complete each round while Japheth took 60 seconds.
- Find the distance covered per second by Yen in m.
- Find the distance covered per second by Japheth in m.
- When the two cyclists next met again at the starting point, how far would Yen have covered? Express the answer in km.
(a)
Distance covered by Yen per second
= 1200 ÷ 40
= 30 m
(b)
Distance covered by Japheth per second
= 1200 ÷ 60
= 20 m
(c)
LCM of 40 and 60 = 120
Time taken for Yen to travel and meet Japheth at the starting point = 120 s
Number of rounds covered by Yen in 120 s
= 120 ÷ 40
= 3
Distance that Yen travelled to meet again
= 3 x 1200
= 3600 m
1000 m = 1 km
3600 m = 3.6 km
Answer(s): (a) 30 m; (b) 20 m; (c) 3.6 km