At 6 a.m., Dylan left Hotel B in his car and travelled towards Hotel C at 84 km/h. At the same time, Ben left Hotel B in his car and travelled in the opposite direction towards Hotel D. When Ben reached Hotel D at 8.25 a.m., Dylan was 13 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 390 km, what was Ben's speed?
(a)
From 6 a.m. to 8.25. am = 2 h 25 min
60 min = 1 h
1 min =
160 h
25 min =
2560 =
512 h
2 h 25 min = 2
512 h
Distance from Hotel B to Hotel C
= 84 x 2
512 + 13
= 84 x
2912 + 13
= 203 + 13
= 216 km
(b)
Distance travelled by Ben
= 390 - 216
= 174 km
Ben's speed
= 174 ÷ 2
512 = 174 ÷
2912 = 174 x
1229 = 72 km/h
Answer(s): (a) 216 km; (b) 72 km/h