Answer:
v = 15 mph
Explanation:
Given that,
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Total distance, d = 3 + 7 = 10 miles
Total time, t = 15 + 25 = 40 minutes = 0.6667 hours
Average speed,
![v=(d)/(t)](https://img.qammunity.org/2022/formulas/physics/high-school/6llapcxrnn8kzhggko2jq6ntrr7g1pi0z8.png)
Put all the value,
![v=(10)/(0.6667)\\\\= $$14.99\ mph](https://img.qammunity.org/2022/formulas/mathematics/college/fdu0wcyi7o3w2q7se2axhfrx1j7app5rkj.png)
or
v = 15 mph
So, the required average speed is equal to 15 mph.