City S and City T are 444 km apart. At 2.56 p.m., Japheth is travelling at a uniform speed left City S for City T while Albert set off from City T to City S along the same road at a uniform speed, which was 12 km/h slower than that of Japheth. The two met at 5.56 p.m.
- Find the speed of Japheth.
- If Albert 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 Japheth and Albert to travel from 2.56 p.m. to 5.56 p.m. = 3 h
Average speed of Japheth and Albert
= 444 ÷ 3
= 148 km/h
Japheth's speed
= (148 + 12) ÷ 2
= 160 ÷ 2
= 80 km/h
(b)
Albert's speed
= 80 - 12
= 68 km/h
Distance that Albert travelled in 3 h
= 3 x 68
= 204 km
Remaining distance that Albert needed to travel
= 444 - 204
= 240 km
Time that Albert needed to reach his destination after the two met
= 240 ÷ 68
= 3
3668 = 3
917 h
Answer(s): (a) 80 km/h; (b) 3
917 h