At 6 a.m., Daniel left Hotel F in his car and travelled towards Hotel G at 80 km/h. At the same time, Mark left Hotel F in his car and travelled in the opposite direction towards Hotel H. When Mark reached Hotel H at 9.15 a.m., Daniel was 11 km away from Hotel G.
- What was the distance from Hotel F to Hotel G?
- If the distance between Hotel G and Hotel H was 440 km, what was Mark's speed?
(a)
From 6 a.m. to 9.15. am = 3 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
3 h 15 min = 3
14 h
Distance from Hotel F to Hotel G
= 80 x 3
14 + 11
= 80 x
134 + 11
= 260 + 11
= 271 km
(b)
Distance travelled by Mark
= 440 - 271
= 169 km
Mark's speed
= 169 ÷ 3
14 = 169 ÷
134 = 169 x
413 = 52 km/h
Answer(s): (a) 271 km; (b) 52 km/h