City P and City Q are 430 km apart. At 6.52 p.m., Simon is travelling at a uniform speed left City P for City Q while Warren set off from City Q to City P along the same road at a uniform speed, which was 5 km/h slower than that of Simon. The two met at 8.52 p.m.
- Find the speed of Simon.
- If Warren continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express your answer in mixed number.
(a)
Time taken for Simon and Warren to travel from 6.52 p.m. to 8.52 p.m. = 2 h
Average speed of Simon and Warren
= 430 ÷ 2
= 215 km/h
Simon's speed
= (215 + 5) ÷ 2
= 220 ÷ 2
= 110 km/h
(b)
Warren's speed
= 110 - 5
= 105 km/h
Distance that Warren travelled in 2 h
= 2 x 105
= 210 km
Remaining distance that Warren needed to travel
= 430 - 210
= 220 km
Time that Warren needed to reach his destination after the two met
= 220 ÷ 105
= 2
10105 = 2
221 h
Answer(s): (a) 110 km/h; (b) 2
221 h