At 5 a.m., Nick left Hotel T in his car and travelled towards Hotel U at 96 km/h. At the same time, Ivan left Hotel T in his car and travelled in the opposite direction towards Hotel V. When Ivan reached Hotel V at 7.35 a.m., Nick was 17 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 420 km, what was Ivan's speed?
(a)
From 5 a.m. to 7.35. am = 2 h 35 min
60 min = 1 h
1 min =
160 h
35 min =
3560 =
712 h
2 h 35 min = 2
712 h
Distance from Hotel T to Hotel U
= 96 x 2
712 + 17
= 96 x
3112 + 17
= 248 + 17
= 265 km
(b)
Distance travelled by Ivan
= 420 - 265
= 155 km
Ivan's speed
= 155 ÷ 2
712 = 155 ÷
3112 = 155 x
1231 = 60 km/h
Answer(s): (a) 265 km; (b) 60 km/h