City N and City P are 525 km apart. At 6.25 p.m., Eric is travelling at a uniform speed left City N for City P while Pierre set off from City P to City N along the same road at a uniform speed, which was 7 km/h slower than that of Eric. The two met at 9.25 p.m.
- Find the speed of Eric.
- If Pierre 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 Eric and Pierre to travel from 6.25 p.m. to 9.25 p.m. = 3 h
Average speed of Eric and Pierre
= 525 ÷ 3
= 175 km/h
Eric's speed
= (175 + 7) ÷ 2
= 182 ÷ 2
= 91 km/h
(b)
Pierre's speed
= 91 - 7
= 84 km/h
Distance that Pierre travelled in 3 h
= 3 x 84
= 252 km
Remaining distance that Pierre needed to travel
= 525 - 252
= 273 km
Time that Pierre needed to reach his destination after the two met
= 273 ÷ 84
= 3
2184 = 3
14 h
Answer(s): (a) 91 km/h; (b) 3
14 h