City M and City N are 320 km apart. At 5.27 p.m., Albert is travelling at a uniform speed left City M for City N while Eric set off from City N to City M along the same road at a uniform speed, which was 8 km/h slower than that of Albert. The two met at 7.27 p.m.
- Find the speed of Albert.
- If Eric 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 Albert and Eric to travel from 5.27 p.m. to 7.27 p.m. = 2 h
Average speed of Albert and Eric
= 320 ÷ 2
= 160 km/h
Albert's speed
= (160 + 8) ÷ 2
= 168 ÷ 2
= 84 km/h
(b)
Eric's speed
= 84 - 8
= 76 km/h
Distance that Eric travelled in 2 h
= 2 x 76
= 152 km
Remaining distance that Eric needed to travel
= 320 - 152
= 168 km
Time that Eric needed to reach his destination after the two met
= 168 ÷ 76
= 2
1676 = 2
419 h
Answer(s): (a) 84 km/h; (b) 2
419 h