Jack left City Y for City X at 08 44. Erika left City Y for City C at the same time. At 11 44, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 15 35.
- Find the distance between Cities A and C.
- If Erika was 57 the speed of Jack, find Jack's speed.
(a)
Time taken for Jack and Erika to travel 08 44 to 11 44 = 3 h
Time taken for Jack and Erika to travel 08 44 to 15 35 = 6 h 51 min = 6
5160 h = 6
1720 h
Distance travelled by Jack and Erika in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
1720 x 180
= 1233 km
(b)
Erika's distance : Jack's distance
5 : 7
Erika's speed : Jack's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Jack's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1233 km; (b) 105km/h