City Z and City A are 351 km apart. At 4.47 p.m., Neave is travelling at a uniform speed left City Z for City A while Will set off from City A to City Z along the same road at a uniform speed, which was 9 km/h slower than that of Neave. The two met at 7.47 p.m.
- Find the speed of Neave.
- If Will 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 Neave and Will to travel from 4.47 p.m. to 7.47 p.m. = 3 h
Average speed of Neave and Will
= 351 ÷ 3
= 117 km/h
Neave's speed
= (117 + 9) ÷ 2
= 126 ÷ 2
= 63 km/h
(b)
Will's speed
= 63 - 9
= 54 km/h
Distance that Will travelled in 3 h
= 3 x 54
= 162 km
Remaining distance that Will needed to travel
= 351 - 162
= 189 km
Time that Will needed to reach his destination after the two met
= 189 ÷ 54
= 3
2754 = 3
12 h
Answer(s): (a) 63 km/h; (b) 3
12 h