# Algebra II

Michael and his sister Jane left their house at the same time going in the opposite direction. Michael drove at an average speed of
40 mph, while Jane drove at an average speed of 35 mph. After how many hours were they 400 miles apart?

1. 👍 0
2. 👎 0
3. 👁 280
1. Michael's distance --- x
Jan'e distance ---- 400-x

x/40 = (400-x)/35

35x = 16000 - 40x

solve for x, the distance that Michael went

divide x by 40 to get the time,
(check by dividing 400-x by 35, you must get the same answer)

1. 👍 0
2. 👎 0
2. d1 + d2 = 400.
40*T + 35*T = 400,
T = 5 1/3 Hours.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra 2 b

Jane is going to fence in her back yard. She has purchased 100 feet of fencing and knows that she wants to fence in a rectangular area where one side will be the back of her house. She knows her house is 30 feet across the back.

2. ### Physics

Two soccer players, Mary and Jane, begin running from nearly the same point at the same time. Mary runs in an easterly direction at 4.43 m/s, while Jane takes off in a direction 60.2o north of east at 5.07 m/s. How long is it

3. ### TRIGNOMETRYY

FROM A WINDOW 9M ABOVE GROUND OF HOUSE IN A STREET ANGLES OF ELEVATION AND DEPRESSION OF TOP AND FOOT OF ANOTHER HOUSE ON OPPOSITE SIDE OF STREET ARE 30DEGREE AND 60DEGREE FIND HEIGHT OF OPPOSITE HOUSE AND WIDTH OF STREET.

4. ### math

Louis had 135 action figures, Sam had 990 action figures and Jane had 570 action figures. after jane gave an equal number of action figures to both boys, Sam had 4 times as many action figures as Louis. How many action figures did

1. ### English 11

Hello, I need help with this question! I'm not asking for answers, I just need to know where to look to find my answer! Help me please? Read the following passage. In 3–5 sentences, identify who wrote it. Support your choice

2. ### English

Identify the pronouns in each sentence. Then decide if each is nominative (N), objective (O), or possessive (P). 1. Why wasn't he invited to Anila's party? 2. I hope Anila left me directions to her house. 3. My sister will pick us

3. ### english

Please help me to correct my answers below.let me know the correct answers. thank you 1. Justin (write) _____ his speech for the presentation now. I hope he finishes it before we meet. 1. is writing 2.will write 3.writes 4.has

4. ### math

jane had \$7 and her sister had \$2. their parents gave each of them an equal amount of money. then, jane had twice as much money as her sister. how much money did their parents give each of them

1. ### Anna

At 9:00 Mary Thorne set out from her house for a picnic, traveling at 15 km/h on her bike. her sister lifet 15 min later and traveled at the speed of 30 km/h. If both her sisters arrived at the picnic area at the same time, how

2. ### Mathematics

A man cycled from the market to his house at an average speed of 6 km per hour.If he left the market at 4 0'clock pm and reached his house at 5.15pm how far is his house from the market.

3. ### ALGEBRA 2

Mrs. Smith drove at a rate of 45 mi/h from her home to her sister's house. She spent 1.5 hours having lunch with her sister. She then drove back home at a rate of 55 mi/h. The entire trip, including lunch, took 4 hours. How far

4. ### algebra

The question is: You plan on attending a picnic for the up coming holiday. You can either go to your sister's picnic who lives 10 miles west of your house or to your friends picnic who lives 10 miles east of your house. write an