Justin left City E for City D at 08 32. Jen left City E for City C at the same time. At 10 32, they were 330 km apart. Both maintained a constant speed and reached their destination at the same time at 12 12.
- Find the distance between Cities A and C.
- If Jen was 78 the speed of Justin, find Justin's speed.
(a)
Time taken for Justin and Jen to travel 08 32 to 10 32 = 2 h
Time taken for Justin and Jen to travel 08 32 to 12 12 = 3 h 40 min = 3
4060 h = 3
23 h
Distance travelled by Justin and Jen in 1 hour
= 330 ÷ 2
= 165 km
Total distance
= 3
23 x 165
= 605 km
(b)
Jen's distance : Justin's distance
7 : 8
Jen's speed : Justin's speed
7 : 8
15 u = 165 km
1 u = 165 ÷ 15 = 11 km
Justin's speed
= 8 u
= 8 x 11
= 88 km/h
Answer(s): (a) 605 km; (b) 88km/h