City V and City W are 370 km apart. At 6.25 p.m., Rael is travelling at a uniform speed left City V for City W while Ryan set off from City W to City V along the same road at a uniform speed, which was 5 km/h slower than that of Rael. The two met at 8.25 p.m.
- Find the speed of Rael.
- If Ryan 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 Rael and Ryan to travel from 6.25 p.m. to 8.25 p.m. = 2 h
Average speed of Rael and Ryan
= 370 ÷ 2
= 185 km/h
Rael's speed
= (185 + 5) ÷ 2
= 190 ÷ 2
= 95 km/h
(b)
Ryan's speed
= 95 - 5
= 90 km/h
Distance that Ryan travelled in 2 h
= 2 x 90
= 180 km
Remaining distance that Ryan needed to travel
= 370 - 180
= 190 km
Time that Ryan needed to reach his destination after the two met
= 190 ÷ 90
= 2
1090 = 2
19 h
Answer(s): (a) 95 km/h; (b) 2
19 h