At 9 a.m., Cody left Hotel B in his car and travelled towards Hotel C at 75 km/h. At the same time, Justin left Hotel B in his car and travelled in the opposite direction towards Hotel D. When Justin reached Hotel D at 11.20 a.m., Cody was 14 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 350 km, what was Justin's speed?
(a)
From 9 a.m. to 11.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel B to Hotel C
= 75 x 2
13 + 14
= 75 x
73 + 14
= 175 + 14
= 189 km
(b)
Distance travelled by Justin
= 350 - 189
= 161 km
Justin's speed
= 161 ÷ 2
13 = 161 ÷
73 = 161 x
37 = 69 km/h
Answer(s): (a) 189 km; (b) 69 km/h