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36 votes
36 votes
Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4

miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph

User Vivek Pradhan
by
2.9k points

1 Answer

7 votes
7 votes

Answer:

It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.

Explanation:

Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:

27 - (4 + 5) = 27 - 9 = 18

27 - (4 + 5) x 3 = 0

Therefore, it took 3 hours for the two to meet.

4 x 3 = 12

Thus, they were 12 miles from Joseph's home when they met.

User ThunderWiring
by
3.1k points