At 5 a.m., Asher left Hotel B in his car and travelled towards Hotel C at 72 km/h. At the same time, Japheth left Hotel B in his car and travelled in the opposite direction towards Hotel D. When Japheth reached Hotel D at 7.10 a.m., Asher was 20 km away from Hotel C.
- What was the distance from Hotel B to Hotel C?
- If the distance between Hotel C and Hotel D was 410 km, what was Japheth's speed?
(a)
From 5 a.m. to 7.10. 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 B to Hotel C
= 72 x 2
16 + 20
= 72 x
136 + 20
= 156 + 20
= 176 km
(b)
Distance travelled by Japheth
= 410 - 176
= 234 km
Japheth's speed
= 234 ÷ 2
16 = 234 ÷
136 = 234 x
613 = 108 km/h
Answer(s): (a) 176 km; (b) 108 km/h