At 5 a.m., Ethan left Hotel T in his car and travelled towards Hotel U at 78 km/h. At the same time, Perry left Hotel T in his car and travelled in the opposite direction towards Hotel V. When Perry reached Hotel V at 7.20 a.m., Ethan was 20 km away from Hotel U.
- What was the distance from Hotel T to Hotel U?
- If the distance between Hotel U and Hotel V was 370 km, what was Perry's speed?
(a)
From 5 a.m. to 7.20. 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 T to Hotel U
= 78 x 2
13 + 20
= 78 x
73 + 20
= 182 + 20
= 202 km
(b)
Distance travelled by Perry
= 370 - 202
= 168 km
Perry's speed
= 168 ÷ 2
13 = 168 ÷
73 = 168 x
37 = 72 km/h
Answer(s): (a) 202 km; (b) 72 km/h