City Q and City R are 600 km apart. At 4.41 p.m., Will is travelling at a uniform speed left City Q for City R while Cody set off from City R to City Q along the same road at a uniform speed, which was 8 km/h slower than that of Will. The two met at 7.41 p.m.
- Find the speed of Will.
- If Cody 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 Will and Cody to travel from 4.41 p.m. to 7.41 p.m. = 3 h
Average speed of Will and Cody
= 600 ÷ 3
= 200 km/h
Will's speed
= (200 + 8) ÷ 2
= 208 ÷ 2
= 104 km/h
(b)
Cody's speed
= 104 - 8
= 96 km/h
Distance that Cody travelled in 3 h
= 3 x 96
= 288 km
Remaining distance that Cody needed to travel
= 600 - 288
= 312 km
Time that Cody needed to reach his destination after the two met
= 312 ÷ 96
= 3
2496 = 3
14 h
Answer(s): (a) 104 km/h; (b) 3
14 h