At 8 a.m., Jeremy left Hotel A in his car and travelled towards Hotel B at 72 km/h. At the same time, Will left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Will reached Hotel C at 11.45 a.m., Jeremy was 20 km away from Hotel B.
- What was the distance from Hotel A to Hotel B?
- If the distance between Hotel B and Hotel C was 440 km, what was Will's speed?
(a)
From 8 a.m. to 11.45. am = 3 h 45 min
60 min = 1 h
1 min =
160 h
45 min =
4560 =
34 h
3 h 45 min = 3
34 h
Distance from Hotel A to Hotel B
= 72 x 3
34 + 20
= 72 x
154 + 20
= 270 + 20
= 290 km
(b)
Distance travelled by Will
= 440 - 290
= 150 km
Will's speed
= 150 ÷ 3
34 = 150 ÷
154 = 150 x
415 = 40 km/h
Answer(s): (a) 290 km; (b) 40 km/h