# Mathematics

Town Y and Town Z were 512 km apart. Car A left Town Y for Town Z at a speed of 32km/h. An hour later car B left Town Z for Town Y at twice of car A ‘s speed. How long would it take for the two cars to pass each other after car b left town Z?

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. distance = speed * time
So, if B traveled for time t hours, then
32(t+1) + (2*32)t = 512
Now just solve for t.

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. when b leaves the distance between cars is d = 512 - 1 Sa
speed = Sa + Sb = Sa + 2Sa = 3 Sa
so
3 Sa t = 512 - 1 Sa
3 * 32 * t = 512-32 = 480
t = 480/96 = 5 hr

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

How many ways can an IRS auditor select 3 of 11 tax returns for an audit? There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible? License plates

2. ### Physics

Town A lies 20 km north of town B. Town C lies 13 km west of town A. A small plane flies directly from town B to town C. What is the displacement of the plane. Please explain how you got the answer

3. ### math

Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?

4. ### math help

At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 are from

1. ### Algebra

A business owner opens one store in town A. The equation p(x)=10,000(1.075)^t represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to

2. ### Mathematics

A car travelling at an average speed of 55kph leaves Town A for Town B a distance of 120 kilometres. At the same time, another car, travelling on the same highway at an average speed of 45kph, leaves Town B for Town A. In how many

3. ### Trigonometry

The populations, P, of six towns with time t in years are given by: I) P=1000(1.08)^t II) P= 600(1.12)^t III) P = 2500(0.9)^t IV) P=1200(1.185)^t V) P=800(0.78)^t VI) P=2000(0.99)^t a. Which towns are growing in size? Which are

4. ### math

The distance between towns M and N is 280 km. A car and a lorry travel from M to N. The average speed of the lorry is 20 km/h less than that of the car. The lorry takes 1 h 10 min more than the car to travel from M and N. (a) If

1. ### math

a map is drawn using the scale 2 cm: 100 mi. on the map ,town b is 3.5 centimeters from town a, and town c is 2 centimeters past town b. how many miles apart are town a and town c

2. ### mathematics

A business owner opens one store in town A. The equation mc024-1.jpgrepresents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to increase

3. ### Math

Mrs. Greenaway has decided to open a new preschool in her town. To decide whether she will have enough students to be successful, she hires a researcher to conduct a survey of the town’s population. Which of the following groups

4. ### Mathematics

A train left town A for town B. The journey took 3 hours 40 minutes. The train arrived at town B at 11:05am, what time did the train leave town A?