Gabriel left City J for City H at 09 35. Risa left City J for City C at the same time. At 13 35, they were 576 km apart. Both maintained a constant speed and reached their destination at the same time at 15 10.
- Find the distance between Cities A and C.
- If Risa was 35 the speed of Gabriel, find Gabriel's speed.
(a)
Time taken for Gabriel and Risa to travel 09 35 to 13 35 = 4 h
Time taken for Gabriel and Risa to travel 09 35 to 15 10 = 5 h 35 min = 5
3560 h = 5
712 h
Distance travelled by Gabriel and Risa in 1 hour
= 576 ÷ 4
= 144 km
Total distance
= 5
712 x 144
= 804 km
(b)
Risa's distance : Gabriel's distance
3 : 5
Risa's speed : Gabriel's speed
3 : 5
8 u = 144 km
1 u = 144 ÷ 8 = 18 km
Gabriel's speed
= 5 u
= 5 x 18
= 90 km/h
Answer(s): (a) 804 km; (b) 90km/h