City G and City H are 564 km apart. At 2.44 p.m., Daniel is travelling at a uniform speed left City G for City H while Lee set off from City H to City G along the same road at a uniform speed, which was 8 km/h slower than that of Daniel. The two met at 5.44 p.m.
- Find the speed of Daniel.
- If Lee 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 Lee to travel from 2.44 p.m. to 5.44 p.m. = 3 h
Average speed of Daniel and Lee
= 564 ÷ 3
= 188 km/h
Daniel's speed
= (188 + 8) ÷ 2
= 196 ÷ 2
= 98 km/h
(b)
Lee's speed
= 98 - 8
= 90 km/h
Distance that Lee travelled in 3 h
= 3 x 90
= 270 km
Remaining distance that Lee needed to travel
= 564 - 270
= 294 km
Time that Lee needed to reach his destination after the two met
= 294 ÷ 90
= 3
2490 = 3
415 h
Answer(s): (a) 98 km/h; (b) 3
415 h