City N and City P are 402 km apart. At 5.23 p.m., Jeremy is travelling at a uniform speed left City N for City P while Dylan set off from City P to City N along the same road at a uniform speed, which was 9 km/h slower than that of Jeremy. The two met at 7.23 p.m.
- Find the speed of Jeremy.
- If Dylan 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 Jeremy and Dylan to travel from 5.23 p.m. to 7.23 p.m. = 2 h
Average speed of Jeremy and Dylan
= 402 ÷ 2
= 201 km/h
Jeremy's speed
= (201 + 9) ÷ 2
= 210 ÷ 2
= 105 km/h
(b)
Dylan's speed
= 105 - 9
= 96 km/h
Distance that Dylan travelled in 2 h
= 2 x 96
= 192 km
Remaining distance that Dylan needed to travel
= 402 - 192
= 210 km
Time that Dylan needed to reach his destination after the two met
= 210 ÷ 96
= 2
1896 = 2
316 h
Answer(s): (a) 105 km/h; (b) 2
316 h