City G and City H are 348 km apart. At 3.49 p.m., Reggie is travelling at a uniform speed left City G for City H while Tommy set off from City H to City G along the same road at a uniform speed, which was 6 km/h slower than that of Reggie. The two met at 5.49 p.m.
- Find the speed of Reggie.
- If Tommy 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 Reggie and Tommy to travel from 3.49 p.m. to 5.49 p.m. = 2 h
Average speed of Reggie and Tommy
= 348 ÷ 2
= 174 km/h
Reggie's speed
= (174 + 6) ÷ 2
= 180 ÷ 2
= 90 km/h
(b)
Tommy's speed
= 90 - 6
= 84 km/h
Distance that Tommy travelled in 2 h
= 2 x 84
= 168 km
Remaining distance that Tommy needed to travel
= 348 - 168
= 180 km
Time that Tommy needed to reach his destination after the two met
= 180 ÷ 84
= 2
1284 = 2
17 h
Answer(s): (a) 90 km/h; (b) 2
17 h