Jeremy left City Z for City Y at 06 34. Zara left City Z for City C at the same time. At 10 34, they were 640 km apart. Both maintained a constant speed and reached their destination at the same time at 13 28.
- Find the distance between Cities A and C.
- If Zara was 79 the speed of Jeremy, find Jeremy's speed.
(a)
Time taken for Jeremy and Zara to travel 06 34 to 10 34 = 4 h
Time taken for Jeremy and Zara to travel 06 34 to 13 28 = 6 h 54 min = 6
5460 h = 6
910 h
Distance travelled by Jeremy and Zara in 1 hour
= 640 ÷ 4
= 160 km
Total distance
= 6
910 x 160
= 1104 km
(b)
Zara's distance : Jeremy's distance
7 : 9
Zara's speed : Jeremy's speed
7 : 9
16 u = 160 km
1 u = 160 ÷ 16 = 10 km
Jeremy's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 1104 km; (b) 90km/h