Respuesta :
45 km at 54 km/hr
45 / 54 = 5/6
It took him 5/6 of an hour, or 50 minute
61.4117 km/hr
45 / 54 = 5/6
It took him 5/6 of an hour, or 50 minute
61.4117 km/hr
Answer: His average speed for his total journey from York to Blackpool is approximately 61.41 km/h.
Step-by-step explanation:
[tex]\text{ The average speed}=\frac{\text{Total distance covered}}{\text{Total time taken}}[/tex]
Since, The distance covered by him from York to Leeds = 45 km,
The speed when he covered this distance = 54 km/ h
Thus, the time taken by him in travelling from York to Leeds = 45/54 hours (Because, Time = Distance/speed)
Now, The distance covered by him from Leeds to Blackpool = 42 km,
The time taken by him in travelling from Leeds to Blackpool = 35 minutes = 35/60 hours
Hence, the total time taken by him in this journey
[tex]=\frac{45}{54}+\frac{35}{60}=\frac{450+315}{540}=\frac{765}{540}=\frac{17}{12}[/tex] hours
And, the total distance he covered= 45 + 42 = 87 km
Thus, His average speed
[tex]=\frac{87}{17/12}= \frac{12\times 87}{17}=\frac{1044}{17}=61.4117647\approx 61.41\text{ km per hour}[/tex]
