High School

Your task this week is a math problem:

The distance between Exeter and London is 175 miles. Sam left Exeter at 10:00 on Tuesday for London. Morgan left London for Exeter at 13:00 the same day. They traveled on the same road. Up to the time when they met, Sam's average speed was 25 miles per hour, and Morgan's average speed was 35 miles per hour.

At what time did Sam and Morgan meet?

Answer :

Answer: Sam and Morgan met up at 18:00. Sam left Exeter at 10:00, and was on the road for 7 hours. I know this because 175 / 25 = 7. 10:00 + 7:00 = 17:00 meaning Sam got there at 17:00. Morgan on the other hand left at 13:00 and had an average speed of 35 mph. 175/35=5. 13:00 + 5:00 = 18:00. By 18:00 both Sam and Morgan had arrived in London thus 18:00 us your answer.

Step-by-step explanation:

Final answer:

This answer explains how to calculate the time when Sam and Morgan meet after traveling at different speeds.

Explanation:

To find the time when Sam and Morgan meet:

Calculate the head start Sam has by multiplying his speed by the time he traveled before Morgan starts. 25 miles/hour x 3 hours = 75 miles.

Subtract the head start from the total distance to find the distance they met at. 175 miles - 75 miles = 100 miles.

Divide the distance they met at by the combined speed of both Sam and Morgan to find the time they met. 100 miles / (25 miles/hour + 35 miles/hour) = 2 hours.

Therefore, Sam and Morgan would meet at 15:00 (3:00 PM).

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