Question

Sanjit drives the 45 km distance between York and Leeds he then drives a further 42 km from Leeds to Blackpool

Answer 1

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 

Answer 2

Answer: His average speed for his total journey from York to Blackpool is approximately 61.41 km/h.

Step-by-step explanation:

$\text{ The average speed}=\frac{\text{Total distance covered}}{\text{Total time taken}}$

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

$=\frac{45}{54}+\frac{35}{60}=\frac{450+315}{540}=\frac{765}{540}=\frac{17}{12}$ hours

And, the total distance he covered= 45 + 42 = 87 km

Thus, His average speed

$=\frac{87}{17/12}= \frac{12\times 87}{17}=\frac{1044}{17}=61.4117647\approx 61.41\text{ km per hour}$