At 9 a.m., Howard left Hotel T in his car and travelled towards Hotel U at 99 km/h. At the same time, Sam left Hotel T in his car and travelled in the opposite direction towards Hotel V. When Sam reached Hotel V at 11.20 a.m., Howard was 16 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 450 km, what was Sam's speed?
(a)
From 9 a.m. to 11.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel T to Hotel U
= 99 x 2
13 + 16
= 99 x
73 + 16
= 231 + 16
= 247 km
(b)
Distance travelled by Sam
= 450 - 247
= 203 km
Sam's speed
= 203 ÷ 2
13 = 203 ÷
73 = 203 x
37 = 87 km/h
Answer(s): (a) 247 km; (b) 87 km/h