City L and City M are 330 km apart. At 4.40 p.m., Andy is travelling at a uniform speed left City L for City M while Will set off from City M to City L along the same road at a uniform speed, which was 11 km/h slower than that of Andy. The two met at 6.40 p.m.
- Find the speed of Andy.
- If Will 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 Andy and Will to travel from 4.40 p.m. to 6.40 p.m. = 2 h
Average speed of Andy and Will
= 330 ÷ 2
= 165 km/h
Andy's speed
= (165 + 11) ÷ 2
= 176 ÷ 2
= 88 km/h
(b)
Will's speed
= 88 - 11
= 77 km/h
Distance that Will travelled in 2 h
= 2 x 77
= 154 km
Remaining distance that Will needed to travel
= 330 - 154
= 176 km
Time that Will needed to reach his destination after the two met
= 176 ÷ 77
= 2
2277 = 2
27 h
Answer(s): (a) 88 km/h; (b) 2
27 h