At 6 a.m., Gabriel and Tim left Park Q and drove towards Park R at average speeds of 80 km/h and 64 km/h respectively. Upon reaching Park R, Gabriel rested for 3 hours. He then headed back for Park Q at an average speed of 80 km/h along the same route. Gabriel and Tim met each other on their way at 2 p.m.
- How far had Gabriel covered when he met Tim on the way?
- How far apart were the two parks?
(a)
Time taken by Tim = 8 h
Time taken by Gabriel = 8 - 3 = 5 h
Distance covered by Gabriel when he met Tim
= 5 x 80
= 400 km
(b)
Distance travelled by Tim
= 8 x 64
= 512 km
Distance of the two parks
= (400 + 512) ÷ 2
= 912 ÷ 2
= 456 km
Answer(s): (a) 400 km; (b) 456 km