City F and City G are 354 km apart. At 4.25 p.m., Ahmad is travelling at a uniform speed left City F for City G while Fabian 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 Ahmad. The two met at 7.25 p.m.
- Find the speed of Ahmad.
- If Fabian 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 Ahmad and Fabian to travel from 4.25 p.m. to 7.25 p.m. = 3 h
Average speed of Ahmad and Fabian
= 354 ÷ 3
= 118 km/h
Ahmad's speed
= (118 + 10) ÷ 2
= 128 ÷ 2
= 64 km/h
(b)
Fabian's speed
= 64 - 10
= 54 km/h
Distance that Fabian travelled in 3 h
= 3 x 54
= 162 km
Remaining distance that Fabian needed to travel
= 354 - 162
= 192 km
Time that Fabian needed to reach his destination after the two met
= 192 ÷ 54
= 3
3054 = 3
59 h
Answer(s): (a) 64 km/h; (b) 3
59 h