Daniel left City D for City C at 08 23. Gwen left City D for City C at the same time. At 10 23, they were 330 km apart. Both maintained a constant speed and reached their destination at the same time at 14 11.
- Find the distance between Cities A and C.
- If Gwen was 78 the speed of Daniel, find Daniel's speed.
(a)
Time taken for Daniel and Gwen to travel 08 23 to 10 23 = 2 h
Time taken for Daniel and Gwen to travel 08 23 to 14 11 = 5 h 48 min = 5
4860 h = 5
45 h
Distance travelled by Daniel and Gwen in 1 hour
= 330 ÷ 2
= 165 km
Total distance
= 5
45 x 165
= 957 km
(b)
Gwen's distance : Daniel's distance
7 : 8
Gwen's speed : Daniel's speed
7 : 8
15 u = 165 km
1 u = 165 ÷ 15 = 11 km
Daniel's speed
= 8 u
= 8 x 11
= 88 km/h
Answer(s): (a) 957 km; (b) 88km/h