Zara and Ahmad started cycling at uniform speeds from the same place in opposite direction round 840 m forest trail. Zara took 40 seconds to complete each round while Ahmad took 60 seconds.
- Find the distance covered per second by Zara in m.
- Find the distance covered per second by Ahmad in m.
- When the two cyclists next met again at the starting point, how far would Zara have covered? Express the answer in km.
(a)
Distance covered by Zara per second
= 840 ÷ 40
= 21 m
(b)
Distance covered by Ahmad per second
= 840 ÷ 60
= 14 m
(c)
LCM of 40 and 60 = 120
Time taken for Zara to travel and meet Ahmad at the starting point = 120 s
Number of rounds covered by Zara in 120 s
= 120 ÷ 40
= 3
Distance that Zara travelled to meet again
= 3 x 840
= 2520 m
1000 m = 1 km
2520 m = 2.52 km
Answer(s): (a) 21 m; (b) 14 m; (c) 2.52 km