i need help with word problems in math?

Question

1)3 people together can do a job in three hours if one of the can do it alone in six and the other can do it in ten how long will it take the third person?
2)find three consecutive numbers such that the difference between the largest and three elevenths of the smallest number is 34.
3)a person leaves their home at 7am and drives to a destination at a rate of 40mph.after spending 1 hour on the destination,theperson returns at a rate of25 mph and arrives at 2:30pm back home.how far is the trip to the destination?
4)the sum of 2 numbers is 65.if the larger number is divided by the smaller number then the quotientis three and the remainder is 5.find the numbers.
5)a boy is now 2thirds as old as his sister and two years ago he was 5eighthsas old as she was then find their present ages.
6)the sum of 2 numbersis 91.if the larger number is divided by thesmaller number then the quotient is 14 and the remainder is 1. find the numbers.



please show work!!!!!

Answer 1

No, I won't. This is so obviously homework.

The point of these problems is not really to get the right answer because, even if you memorized the problem and the answer, you'll never see the problem again in your life. The point is to be able to do them so you can work other problems--sort of like learning letter sounds so you can recognize new words.

If you turn up with the right answers, your teacher will think you know how to work similar problems and will never give you the help you need to do them yourself.

Answer 2

In one hour, person a does 1/6 of the job. Person b does 1/10 of the job. Person c does 1/c of the job.

All three of them working together do 1/3 of the job in an hour.

1/6 + 1/10 + 1/c = 1/3

5c/30c + 3c/30c + 30/30c = 10c/30c
5c + 3c + 30 = 10c
2c = 30
c = 15

So person c does 1/15 each hour and takes 15 hours to complete the job alone.



Three numbers, a, a+1, a+2

(a + 2) - 3a/11 = 34
11(a +2)/11 - 3a/11 = 374/11
11(a + 2) - 3a = 374
11a + 22 - 3a = 374
8a = 352
a = 44
44, 45, 46


2:30 - 7 = 7.5 hours
7.5 hours - 1 hour = 6.5 hours on the road.

x miles/40 mph + x miles/25 mph = 6.5
5x/200 + 8x/200 = 1300/200
5x + 8x = 1300
13x = 1300
x = 100



x/(65-x) = 3 + 5/(65-x)

x/(65-x) = 3(65-x)/(65-x) + 5/(65-x)
x = 195 - 3x + 5
x = 200 - 3x
4x = 200
x = 50
65-x = 15


B = (2/3)G
B-2 = (5/8)(G-2)
B-2 = 5G/8 -10/8
8B - 16 = 5G - 10
8B = 5G + 6
8(2/3)G = 5G + 6
(16/3)G = 5G + 6
16G = 15G + 18
G = 18
B = 12



x/(91-x) = 14 + 1/(91-x)

x = 14(91-x) + 1
x = 1274 - 14x + 1
15x = 1275
x = 85
y = 6