At 7 a.m., Andy left Hotel E in his car and travelled towards Hotel F at 84 km/h. At the same time, Rael left Hotel E in his car and travelled in the opposite direction towards Hotel G. When Rael reached Hotel G at 9.45 a.m., Andy was 10 km away from Hotel F.
- What was the distance from Hotel E to Hotel F?
- If the distance between Hotel F and Hotel G was 450 km, what was Rael's speed?
(a)
From 7 a.m. to 9.45. am = 2 h 45 min
60 min = 1 h
1 min =
160 h
45 min =
4560 =
34 h
2 h 45 min = 2
34 h
Distance from Hotel E to Hotel F
= 84 x 2
34 + 10
= 84 x
114 + 10
= 231 + 10
= 241 km
(b)
Distance travelled by Rael
= 450 - 241
= 209 km
Rael's speed
= 209 ÷ 2
34 = 209 ÷
114 = 209 x
411 = 76 km/h
Answer(s): (a) 241 km; (b) 76 km/h