1. Mrs. Jones leaves home at 8 a.m. traveling at 45 miles per hour. Mr. Jones follow him leaving home?

Question

at 10 a.m and traveling at 55 miles per hour. How long will it take Mrs. Jones to catch up with Mr. Jones?

8.5 hours
8 hours
11 hours
7 hours
9 hours

2. How long does it take for Mrs. Jones to drive before Mr. Jones catches up with him?

Answer 1

Mrs Jones is a "her" so the question is strange.

Anyhow, Mrs Jones has a two-hour head start (10-8), which puts her 90 miles ahead (10-8)*45

Mr Jones catches up 10 miles each hour (55-45), so it takes him 9 hours to catch up. 90/(55-45).

Mrs Jones drives 2hours plus the 9, so total of 11.

Answer 2

Hmm, these aren't quite worded right, but I'll try:

question 1: how long will it take for Mr. Jones at 55mph to catch up to Mrs. Jones, who left 2 hours earlier at 45mph.

Ok, so Mrs. Jones, at 45mph, went 90 miles in the 2 hours head start she had. Since Mr. Jones can only catch up 10 miles (55 - 45) per hour, it will take 9 hours for him to do so. Answer = 9

question 2: how FAR will Mrs. Jones have travelled when Mr. Jones catches up? Well, two ways to do this, since we know they'll have traveled the same amount when Mr. Jones catches up. First, Mr. Jones will travel 55 * 9 miles total when he catches up = 495 miles. Second, we know that Mrs. Jones traveled for 11 hours, so she went 45 * 11 = 495 miles.

Answer = 495 miles.

Answer 3

in two hours Mrs Jones will have traveled 90 miles

Mr Jones is catching up to her at a rate of 10 miles per hour. So to answer your question - he will catch up in 9 hours.

Answer 4

Mrs and Mr Jones are 45x2=90 miles apart at 10am

55x=45x+90
10x=90
x=9

9hours

Answer 5

1. is 9 hours.. 2. is never, because Mrs Jones is going faster from the start.

Answer 6

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Answer 7

1. 9 hours
2. 405 miles