Ben left City F for City E at 09 32. Joelle left City F for City C at the same time. At 12 32, they were 528 km apart. Both maintained a constant speed and reached their destination at the same time at 16 17.
- Find the distance between Cities A and C.
- If Joelle was 35 the speed of Ben, find Ben's speed.
(a)
Time taken for Ben and Joelle to travel 09 32 to 12 32 = 3 h
Time taken for Ben and Joelle to travel 09 32 to 16 17 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Ben and Joelle in 1 hour
= 528 ÷ 3
= 176 km
Total distance
= 6
34 x 176
= 1188 km
(b)
Joelle's distance : Ben's distance
3 : 5
Joelle's speed : Ben's speed
3 : 5
8 u = 176 km
1 u = 176 ÷ 8 = 22 km
Ben's speed
= 5 u
= 5 x 22
= 110 km/h
Answer(s): (a) 1188 km; (b) 110km/h