City E and City F are 441 km apart. At 5.46 p.m., Owen is travelling at a uniform speed left City E for City F while Valen set off from City F to City E along the same road at a uniform speed, which was 7 km/h slower than that of Owen. The two met at 8.46 p.m.
- Find the speed of Owen.
- If Valen 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 Owen and Valen to travel from 5.46 p.m. to 8.46 p.m. = 3 h
Average speed of Owen and Valen
= 441 ÷ 3
= 147 km/h
Owen's speed
= (147 + 7) ÷ 2
= 154 ÷ 2
= 77 km/h
(b)
Valen's speed
= 77 - 7
= 70 km/h
Distance that Valen travelled in 3 h
= 3 x 70
= 210 km
Remaining distance that Valen needed to travel
= 441 - 210
= 231 km
Time that Valen needed to reach his destination after the two met
= 231 ÷ 70
= 3
2170 = 3
310 h
Answer(s): (a) 77 km/h; (b) 3
310 h