City U and City V are 600 km apart. At 2.36 p.m., Ivan is travelling at a uniform speed left City U for City V while Daniel set off from City V to City U along the same road at a uniform speed, which was 10 km/h slower than that of Ivan. The two met at 7.36 p.m.
- Find the speed of Ivan.
- If Daniel 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 Ivan and Daniel to travel from 2.36 p.m. to 7.36 p.m. = 5 h
Average speed of Ivan and Daniel
= 600 ÷ 5
= 120 km/h
Ivan's speed
= (120 + 10) ÷ 2
= 130 ÷ 2
= 65 km/h
(b)
Daniel's speed
= 65 - 10
= 55 km/h
Distance that Daniel travelled in 5 h
= 5 x 55
= 275 km
Remaining distance that Daniel needed to travel
= 600 - 275
= 325 km
Time that Daniel needed to reach his destination after the two met
= 325 ÷ 55
= 5
5055 = 5
1011 h
Answer(s): (a) 65 km/h; (b) 5
1011 h