City L and City M are 354 km apart. At 1.28 p.m., Eric is travelling at a uniform speed left City L for City M while Japheth set off from City M to City L along the same road at a uniform speed, which was 9 km/h slower than that of Eric. The two met at 3.28 p.m.
- Find the speed of Eric.
- If Japheth 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 Eric and Japheth to travel from 1.28 p.m. to 3.28 p.m. = 2 h
Average speed of Eric and Japheth
= 354 ÷ 2
= 177 km/h
Eric's speed
= (177 + 9) ÷ 2
= 186 ÷ 2
= 93 km/h
(b)
Japheth's speed
= 93 - 9
= 84 km/h
Distance that Japheth travelled in 2 h
= 2 x 84
= 168 km
Remaining distance that Japheth needed to travel
= 354 - 168
= 186 km
Time that Japheth needed to reach his destination after the two met
= 186 ÷ 84
= 2
1884 = 2
314 h
Answer(s): (a) 93 km/h; (b) 2
314 h