At 7 a.m., Henry left Hotel C in his car and travelled towards Hotel D at 72 km/h. At the same time, Japheth left Hotel C in his car and travelled in the opposite direction towards Hotel E. When Japheth reached Hotel E at 9.10 a.m., Henry was 10 km away from Hotel D.
- What was the distance from Hotel C to Hotel D?
- If the distance between Hotel D and Hotel E was 400 km, what was Japheth's speed?
(a)
From 7 a.m. to 9.10. am = 2 h 10 min
60 min = 1 h
1 min =
160 h
10 min =
1060 =
16 h
2 h 10 min = 2
16 h
Distance from Hotel C to Hotel D
= 72 x 2
16 + 10
= 72 x
136 + 10
= 156 + 10
= 166 km
(b)
Distance travelled by Japheth
= 400 - 166
= 234 km
Japheth's speed
= 234 ÷ 2
16 = 234 ÷
136 = 234 x
613 = 108 km/h
Answer(s): (a) 166 km; (b) 108 km/h