City T and City U are 552 km apart. At 2.52 p.m., Ahmad is travelling at a uniform speed left City T for City U while Eric set off from City U to City T along the same road at a uniform speed, which was 8 km/h slower than that of Ahmad. The two met at 5.52 p.m.
- Find the speed of Ahmad.
- If Eric 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 Eric to travel from 2.52 p.m. to 5.52 p.m. = 3 h
Average speed of Ahmad and Eric
= 552 ÷ 3
= 184 km/h
Ahmad's speed
= (184 + 8) ÷ 2
= 192 ÷ 2
= 96 km/h
(b)
Eric's speed
= 96 - 8
= 88 km/h
Distance that Eric travelled in 3 h
= 3 x 88
= 264 km
Remaining distance that Eric needed to travel
= 552 - 264
= 288 km
Time that Eric needed to reach his destination after the two met
= 288 ÷ 88
= 3
2488 = 3
311 h
Answer(s): (a) 96 km/h; (b) 3
311 h