At 9 a.m., Elijah left Hotel N in his car and travelled towards Hotel P at 96 km/h. At the same time, Billy left Hotel N in his car and travelled in the opposite direction towards Hotel Q. When Billy reached Hotel Q at 11.40 a.m., Elijah was 14 km away from Hotel P.
- What was the distance from Hotel N to Hotel P?
- If the distance between Hotel P and Hotel Q was 430 km, what was Billy's speed?
(a)
From 9 a.m. to 11.40. am = 2 h 40 min
60 min = 1 h
1 min =
160 h
40 min =
4060 =
23 h
2 h 40 min = 2
23 h
Distance from Hotel N to Hotel P
= 96 x 2
23 + 14
= 96 x
83 + 14
= 256 + 14
= 270 km
(b)
Distance travelled by Billy
= 430 - 270
= 160 km
Billy's speed
= 160 ÷ 2
23 = 160 ÷
83 = 160 x
38 = 60 km/h
Answer(s): (a) 270 km; (b) 60 km/h