At 8 a.m., Xavier left Hotel U in his car and travelled towards Hotel V at 86 km/h. At the same time, Ryan left Hotel U in his car and travelled in the opposite direction towards Hotel W. When Ryan reached Hotel W at 10.30 a.m., Xavier was 15 km away from Hotel V.
- What was the distance from Hotel U to Hotel V?
- If the distance between Hotel V and Hotel W was 420 km, what was Ryan's speed?
(a)
From 8 a.m. to 10.30. am = 2 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
2 h 30 min = 2
12 h
Distance from Hotel U to Hotel V
= 86 x 2
12 + 15
= 86 x
52 + 15
= 215 + 15
= 230 km
(b)
Distance travelled by Ryan
= 420 - 230
= 190 km
Ryan's speed
= 190 ÷ 2
12 = 190 ÷
52 = 190 x
25 = 76 km/h
Answer(s): (a) 230 km; (b) 76 km/h