Ben left City U for City T at 06 40. Erika left City U for City C at the same time. At 10 40, they were 780 km apart. Both maintained a constant speed and reached their destination at the same time at 12 36.
- Find the distance between Cities A and C.
- If Erika was 78 the speed of Ben, find Ben's speed.
(a)
Time taken for Ben and Erika to travel 06 40 to 10 40 = 4 h
Time taken for Ben and Erika to travel 06 40 to 12 36 = 5 h 56 min = 5
5660 h = 5
1415 h
Distance travelled by Ben and Erika in 1 hour
= 780 ÷ 4
= 195 km
Total distance
= 5
1415 x 195
= 1157 km
(b)
Erika's distance : Ben's distance
7 : 8
Erika's speed : Ben's speed
7 : 8
15 u = 195 km
1 u = 195 ÷ 15 = 13 km
Ben's speed
= 8 u
= 8 x 13
= 104 km/h
Answer(s): (a) 1157 km; (b) 104km/h