Final answer:
Akhil would take approximately 22 hours and 12 minutes to drive 90 km at a slower speed of 37 km/h. Therefore, the correct option is C.
Step-by-step explanation:
Let's solve this problem step by step:
First, we can determine that Akhil's usual speed is 150 km / 3.2 h = 47 km/h.
Next, we know that he takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. So, his slower speed would be 47 km/h - 10 km/h = 37 km/h.
To find the time it would take him to drive 90 km at a slower speed of 37 km/h, we can set up a proportion:
(150 km / 37 km/h) = (90 km / x)
Cross-multiplying and solving for x, we get:
x = (90 km * 37 km/h) / 150 km = 22.2 h
Converting the result to hours and minutes, we have that the time it would take Akhil to drive 90 km at a slower speed is approximately 22 hours and 12 minutes.
Therefore, the correct answer is option (c) 2h.