At 7 a.m., Vincent left Hotel T in his car and travelled towards Hotel U at 78 km/h. At the same time, Jeremy left Hotel T in his car and travelled in the opposite direction towards Hotel V. When Jeremy reached Hotel V at 9.30 a.m., Vincent was 15 km away from Hotel U.
- What was the distance from Hotel T to Hotel U?
- If the distance between Hotel U and Hotel V was 410 km, what was Jeremy's speed?
(a)
From 7 a.m. to 9.30. 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 T to Hotel U
= 78 x 2
12 + 15
= 78 x
52 + 15
= 195 + 15
= 210 km
(b)
Distance travelled by Jeremy
= 410 - 210
= 200 km
Jeremy's speed
= 200 ÷ 2
12 = 200 ÷
52 = 200 x
25 = 80 km/h
Answer(s): (a) 210 km; (b) 80 km/h