At 7 a.m., Simon left Hotel D in his car and travelled towards Hotel E at 78 km/h. At the same time, Valen left Hotel D in his car and travelled in the opposite direction towards Hotel F. When Valen reached Hotel F at 9.10 a.m., Simon was 10 km away from Hotel E.
- What was the distance from Hotel D to Hotel E?
- If the distance between Hotel E and Hotel F was 400 km, what was Valen'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 D to Hotel E
= 78 x 2
16 + 10
= 78 x
136 + 10
= 169 + 10
= 179 km
(b)
Distance travelled by Valen
= 400 - 179
= 221 km
Valen's speed
= 221 ÷ 2
16 = 221 ÷
136 = 221 x
613 = 102 km/h
Answer(s): (a) 179 km; (b) 102 km/h