At 8 a.m., Jack left Hotel D in his car and travelled towards Hotel E at 80 km/h. At the same time, Glen left Hotel D in his car and travelled in the opposite direction towards Hotel F. When Glen reached Hotel F at 10.15 a.m., Jack was 15 km away from Hotel E.
- What was the distance from Hotel D to Hotel E?
- If the distance between Hotel E and Hotel F was 420 km, what was Glen's speed?
(a)
From 8 a.m. to 10.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel D to Hotel E
= 80 x 2
14 + 15
= 80 x
94 + 15
= 180 + 15
= 195 km
(b)
Distance travelled by Glen
= 420 - 195
= 225 km
Glen's speed
= 225 ÷ 2
14 = 225 ÷
94 = 225 x
49 = 100 km/h
Answer(s): (a) 195 km; (b) 100 km/h