Jen and Ian started cycling at uniform speeds from the same place in opposite direction round 980 m forest trail. Jen took 49 seconds to complete each round while Ian took 70 seconds.
- Find the distance covered per second by Jen in m.
- Find the distance covered per second by Ian 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
= 980 ÷ 49
= 20 m
(b)
Distance covered by Ian per second
= 980 ÷ 70
= 14 m
(c)
LCM of 49 and 70 = 490
Time taken for Jen to travel and meet Ian at the starting point = 490 s
Number of rounds covered by Jen in 490 s
= 490 ÷ 49
= 10
Distance that Jen travelled to meet again
= 10 x 980
= 9800 m
1000 m = 1 km
9800 m = 9.8 km
Answer(s): (a) 20 m; (b) 14 m; (c) 9.8 km