City G and City H are 450 km apart. At 5.49 p.m., Daniel is travelling at a uniform speed left City G for City H while Perry set off from City H to City G along the same road at a uniform speed, which was 10 km/h slower than that of Daniel. The two met at 8.49 p.m.
- Find the speed of Daniel.
- If Perry 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 Daniel and Perry to travel from 5.49 p.m. to 8.49 p.m. = 3 h
Average speed of Daniel and Perry
= 450 ÷ 3
= 150 km/h
Daniel's speed
= (150 + 10) ÷ 2
= 160 ÷ 2
= 80 km/h
(b)
Perry's speed
= 80 - 10
= 70 km/h
Distance that Perry travelled in 3 h
= 3 x 70
= 210 km
Remaining distance that Perry needed to travel
= 450 - 210
= 240 km
Time that Perry needed to reach his destination after the two met
= 240 ÷ 70
= 3
3070 = 3
37 h
Answer(s): (a) 80 km/h; (b) 3
37 h