At 8 a.m., Justin left Hotel V in his car and travelled towards Hotel W at 76 km/h. At the same time, Japheth left Hotel V in his car and travelled in the opposite direction towards Hotel X. When Japheth reached Hotel X at 11.30 a.m., Justin was 16 km away from Hotel W.
- What was the distance from Hotel V to Hotel W?
- If the distance between Hotel W and Hotel X was 450 km, what was Japheth's speed?
(a)
From 8 a.m. to 11.30. am = 3 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
3 h 30 min = 3
12 h
Distance from Hotel V to Hotel W
= 76 x 3
12 + 16
= 76 x
72 + 16
= 266 + 16
= 282 km
(b)
Distance travelled by Japheth
= 450 - 282
= 168 km
Japheth's speed
= 168 ÷ 3
12 = 168 ÷
72 = 168 x
27 = 48 km/h
Answer(s): (a) 282 km; (b) 48 km/h