City F and City G are 354 km apart. At 3.39 p.m., Pierre is travelling at a uniform speed left City F for City G while Tim 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 Pierre. The two met at 6.39 p.m.
- Find the speed of Pierre.
- If Tim 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 Pierre and Tim to travel from 3.39 p.m. to 6.39 p.m. = 3 h
Average speed of Pierre and Tim
= 354 ÷ 3
= 118 km/h
Pierre's speed
= (118 + 10) ÷ 2
= 128 ÷ 2
= 64 km/h
(b)
Tim's speed
= 64 - 10
= 54 km/h
Distance that Tim travelled in 3 h
= 3 x 54
= 162 km
Remaining distance that Tim needed to travel
= 354 - 162
= 192 km
Time that Tim 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