Question

Exactly 10 min after Alex left his grandparents' house, his cousin Alison set out from there to overtake him. Alex drives at 36 mi/h. Alison drives at 40 mi/h. How long did it take Alison to overtake Alex?

a) 60 minutes
b) 30 minutes
c) 40 minutes
d) 20 minutes

Answer 1

Alison took 9 minutes to overtake Alex.

Step-by-step explanation:

To find the time it took Alison to overtake Alex, we need to calculate the time it took Alex to travel a certain distance. Since Alex drives at a speed of 36 mi/h, the distance he covered in 10 minutes would be 6 miles (36 mi/h * 1/6 h).

Alison drives at a speed of 40 mi/h and needs to cover the same distance of 6 miles to overtake Alex. To calculate the time it took her, we divide the distance by her speed: 6 miles / 40 mi/h = 0.15 hours.

So, it took Alison 0.15 hours, which is equivalent to 9 minutes, to overtake Alex.