City F and City G are 363 km apart. At 1.51 p.m., Harry is travelling at a uniform speed left City F for City G while Neave set off from City G to City F along the same road at a uniform speed, which was 11 km/h slower than that of Harry. The two met at 4.51 p.m.
- Find the speed of Harry.
- If Neave 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 Harry and Neave to travel from 1.51 p.m. to 4.51 p.m. = 3 h
Average speed of Harry and Neave
= 363 ÷ 3
= 121 km/h
Harry's speed
= (121 + 11) ÷ 2
= 132 ÷ 2
= 66 km/h
(b)
Neave's speed
= 66 - 11
= 55 km/h
Distance that Neave travelled in 3 h
= 3 x 55
= 165 km
Remaining distance that Neave needed to travel
= 363 - 165
= 198 km
Time that Neave needed to reach his destination after the two met
= 198 ÷ 55
= 3
3355 = 3
35 h
Answer(s): (a) 66 km/h; (b) 3
35 h