At 8 a.m., Ahmad and Luke left Park J and drove towards Park K at average speeds of 87 km/h and 59 km/h respectively. Upon reaching Park K, Ahmad rested for 2 hours. He then headed back for Park J at an average speed of 87 km/h along the same route. Ahmad and Luke met each other on their way at 1 p.m.
- How far had Ahmad covered when he met Luke on the way?
- How far apart were the two parks?
(a)
Time taken by Luke = 5 h
Time taken by Ahmad = 5 - 2 = 3 h
Distance covered by Ahmad when he met Luke
= 3 x 87
= 261 km
(b)
Distance travelled by Luke
= 5 x 59
= 295 km
Distance of the two parks
= (261 + 295) ÷ 2
= 556 ÷ 2
= 278 km
Answer(s): (a) 261 km; (b) 278 km