At 5 a.m., Tim and Japheth left Park J and drove towards Park K at average speeds of 78 km/h and 64 km/h respectively. Upon reaching Park K, Tim rested for 2 hours. He then headed back for Park J at an average speed of 78 km/h along the same route. Tim and Japheth met each other on their way at 1 p.m.
- How far had Tim covered when he met Japheth on the way?
- How far apart were the two parks?
(a)
Time taken by Japheth = 8 h
Time taken by Tim = 8 - 2 = 6 h
Distance covered by Tim when he met Japheth
= 6 x 78
= 468 km
(b)
Distance travelled by Japheth
= 8 x 64
= 512 km
Distance of the two parks
= (468 + 512) ÷ 2
= 980 ÷ 2
= 490 km
Answer(s): (a) 468 km; (b) 490 km