Question

Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?

Answer 1

Martin traveled 200 miles in the 4-hour trip.

Step-by-step explanation:

To find the distance Martin traveled in the 4-hour trip, we need to calculate the distance he traveled for each half of the trip. Since he traveled at an average rate of 40 miles per hour for the first half, we can calculate the distance by multiplying 40 miles per hour by the time for the first half, which is 2 hours. So, Martin traveled 40 miles per hour * 2 hours = 80 miles for the first half of the trip.

For the second half of the trip, Martin traveled at a rate of 60 miles per hour for 2 hours. So, the distance he traveled for the second half is 60 miles per hour * 2 hours = 120 miles.

To find the total distance, we add the distance of the first half and the second half, which is 80 miles + 120 miles = 200 miles. Therefore, Martin traveled 200 miles in the 4-hour trip.

Answer 2

Total distance traveled = 200 miles

Step-by-step explanation:

Total time taken for the trip = 4 hours

∴ The trip can be divided into two halves of 2 hours each.

1st half:

speed = 40 miles per hour

distance = speed × time

when time = 2 hours

distance = 40 × 2 = 80 miles

2nd half:

distance = speed × time

speed = 60 miles per hour

time = 2 hours

∴ distance = 60 × 2 = 120 miles

Combined distance traveled = 80 + 120 = 200 miles