Question

A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. If x represents how far it is to the destination, then which of the following expressions represents the amount of time to make the return trip?

25x
6.5 - x
x/25

Answer 1

A person leaves home at 8:00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. How far was the destination?

65 miles
100 miles
130 miles

Answer 2

One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?



If x represents how many minutes to do the job together, then how much of the job does the slowest person do?

x/15
x/10
15/x

Answer 3

One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?

4 min
5 min
6 min

Answer 4

One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job in three days. How many days will they take to do the job together?

1 day
2 days
6 days

Answer 5

A tank can be filled by one pipe in four hours and by a second pipe in six hours; and when it is full, the tank can be drained by a third pipe in three hours. If the tank is empty and all three pipes are open, in how many hours will the tank be filled?

8 hours
12 hours
24 hours

Answer 6

A mixture contains forty ounces of glycol and water, and it is ten percent glycol. The mixture is to be strengthened to twenty-five percent by adding glycol. How much glycol is in the original mixture?

4 oz
10 oz
40 oz

Answer 7

A mixture contains forty ounces of glycol and water and is ten percent glycol. If the mixture is to be strengthened to twenty-five percent, how much glycol is to be added?

4 oz
8 oz
10 oz

Answer 8

An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreeze solution. How many quarts of pure antifreeze must be added to strengthen the solution to forty percent?

2 quarts
3 quarts
4 quarts

Answer 9

These should each be their own topic. Ask them one at a time.

Answer 10

Are you just transcribing all of your homework?

Answer 11

For average speed = Speed = (2xy)/( x + y)

x = speed up and y = speed down..

So, Average speed = (2 * 40 * 25)/ (40 + 25) = 30.77...

and using formula, Speed = distance/ time

30.77 = x / 6.5 hrs...

so x = 200 miles...

so this is up and down distance... one side is 100 miles..

Hope that answers all the questions...

Answer 12

Time for return trip.. x/25..

Answer 13

augh. too many questions. suggestion: do what the guy before said; ask each question individually.
Better yet, attempt all of these questions yourself, and ask only the questions you actually have difficulty on.

Answer 14

:S