Jen and Carl started cycling at uniform speeds from the same place in opposite direction round 1200 m forest trail. Jen took 40 seconds to complete each round while Carl took 48 seconds.
- Find the distance covered per second by Jen in m.
- Find the distance covered per second by Carl in m.
- When the two cyclists next met again at the starting point, how far would Jen have covered? Express the answer in km.
(a)
Distance covered by Jen per second
= 1200 ÷ 40
= 30 m
(b)
Distance covered by Carl per second
= 1200 ÷ 48
= 25 m
(c)
LCM of 40 and 48 = 240
Time taken for Jen to travel and meet Carl at the starting point = 240 s
Number of rounds covered by Jen in 240 s
= 240 ÷ 40
= 6
Distance that Jen travelled to meet again
= 6 x 1200
= 7200 m
1000 m = 1 km
7200 m = 7.2 km
Answer(s): (a) 30 m; (b) 25 m; (c) 7.2 km