City F and City G are 462 km apart. At 1.58 p.m., Andy is travelling at a uniform speed left City F for City G while Owen set off from City G to City F along the same road at a uniform speed, which was 10 km/h slower than that of Andy. The two met at 4.58 p.m.
- Find the speed of Andy.
- If Owen 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 Andy and Owen to travel from 1.58 p.m. to 4.58 p.m. = 3 h
Average speed of Andy and Owen
= 462 ÷ 3
= 154 km/h
Andy's speed
= (154 + 10) ÷ 2
= 164 ÷ 2
= 82 km/h
(b)
Owen's speed
= 82 - 10
= 72 km/h
Distance that Owen travelled in 3 h
= 3 x 72
= 216 km
Remaining distance that Owen needed to travel
= 462 - 216
= 246 km
Time that Owen needed to reach his destination after the two met
= 246 ÷ 72
= 3
3072 = 3
512 h
Answer(s): (a) 82 km/h; (b) 3
512 h