City E and City F are 476 km apart. At 3.41 p.m., Flynn is travelling at a uniform speed left City E for City F while Tim set off from City F to City E along the same road at a uniform speed, which was 7 km/h slower than that of Flynn. The two met at 7.41 p.m.
- Find the speed of Flynn.
- 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 Flynn and Tim to travel from 3.41 p.m. to 7.41 p.m. = 4 h
Average speed of Flynn and Tim
= 476 ÷ 4
= 119 km/h
Flynn's speed
= (119 + 7) ÷ 2
= 126 ÷ 2
= 63 km/h
(b)
Tim's speed
= 63 - 7
= 56 km/h
Distance that Tim travelled in 4 h
= 4 x 56
= 224 km
Remaining distance that Tim needed to travel
= 476 - 224
= 252 km
Time that Tim needed to reach his destination after the two met
= 252 ÷ 56
= 4
2856 = 4
12 h
Answer(s): (a) 63 km/h; (b) 4
12 h