Question

Max travels to see his brother's family by car. He drives 216 miles in 4 hours. Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?

Answer 1

No, he would not be able to reach the town in 4 hours with two 10 minutes stops and same speed

Completed question;

Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?

Explanation:

Average speed = total distance travelled/time taken

Given;

Total distance travelled= 216 miles

Total time taken = 4 hours

Average speed v = 216/4 = 54 miles per hour

v = 54 mph

Suppose he makes two stops of 10 minutes each during his journey.

Total time on stops = 2 × 10 = 20 minutes = 0.33 hours

Total time spent on motion = 4 - 0.33 hours = 3.67 hours

Total distance covered in 4 hours with two stops;

d = 3.67 × 54 mph = 198.18 miles

Since d < 216 miles

No, he would not be able to reach the town in 4 hours with two 10 minutes stops and same speed

Answer 2

No

Explanation:

Since he maintains the speed, he will reach his destination in 4 hours 20 mins. The 20 mins are from the two stops he makes, each stop taking 10 mjns hence a total of 20 mins extra time is required else he has to accelerate the car ie increase his speed to reach within 4 hours. Currently, his speed is 216/4=54 km/h

Therefore, considering time lost, 20 mins, he won't reach the destination in exactly 4 hours as initially required.