Tutor MathsGuru: Ask me for your burning Maths questions!

[Kafer]

violin_lover:

Kafer:

Hi i have one qn

John speed is ia x m/s.
Mary speed is y m/s
If john starts 2 sec later, he will take 8 secs to catch up with mary.
If john starts to run only when mary is 8m ahea 5 sec to catch up with her.
Form two eqn in x an y.
Can help?

In 10s, Mary travels 10y meter and in 8s, john travels 8x meter. Hence, 10y=8x.
Next, in the 5s, John travels 5x meter and the total distance travel is 8+5y. Thus, 5x=8+5y.

Thanks very much!

[ongmt]

A contractor needed to cover an entire hall with tiles, On the first day,he laid 319 tiles. He completed tiling the rest of the hall in 7 days using equal number of tiles each day, At the end of 4th day, he was able to tile 8/15 of the hall. How man tiles did the contractor us to cover the entire hall? :slapshead:

[MathIzzzFun]

ongmt:

A contractor needed to cover an entire hall with tiles, On the first day,he laid 319 tiles. He completed tiling the rest of the hall in 7 days using equal number of tiles each day, At the end of 4th day, he was able to tile 8/15 of the hall. How man tiles did the contractor us to cover the entire hall? :slapshead:

Hi

Total number of days to tile the hall --> 8 days
Day 1 --> 319 tile
8/15 of hall completed on day 4, so 7/15 (=28/60) of hall completed on remaining 4 days.
So, 1 day --> 7/60 of hall
Day 2 to Day 4 --> 3 days --> 21/60 of hall
319 tiles --> (60-21-28)/60 of hall
11/60 of hall --> 319 tiles
Total number of tiles --> 319/11 x 60 = 1740

cheers.

[Herbie]

Mary and ben took 49 hours to complete their sci project.

They worked separately on their own project.
If mary had worked 5 hours less an ben had worked 6 hours
More. Mary would hv put in 2 hours more than ben.
How many hous did mary put in for the sci project?

[MathIzzzFun]

Herbie:

Mary and ben took 49 hours to complete their sci project.

They worked separately on their own project.
If mary had worked 5 hours less an ben had worked 6 hours
More. Mary would hv put in 2 hours more than ben.
How many hous did mary put in for the sci project?

Hi

drawing a model will be easier to \"see\"..

Ben --> 1 unit
Mary --> 1 unit + 6 + 2 + 5 = 1 unit + 13
total --> 2 units + 13 = 49
1 unit --> 18
Mary --> 31 hours
Ben --> 18 hours

cheers.

[Herbie]

MathIzzzFun:

Herbie:

Mary and ben took 49 hours to complete their sci project.

They worked separately on their own project.
If mary had worked 5 hours less an ben had worked 6 hours
More. Mary would hv put in 2 hours more than ben.
How many hous did mary put in for the sci project?

Hi

drawing a model will be easier to \"see\"..

Ben --> 1 unit
Mary --> 1 unit + 6 + 2 + 5 = 1 unit + 13
total --> 2 units + 13 = 49
1 unit --> 18
Mary --> 31 hours
Ben --> 18 hours

Thanks!

[MathIzzzFun]

Herbie:

MathIzzzFun:

[quote=\"Herbie\"]Mary and ben took 49 hours to complete their sci project.

They worked separately on their own project.
If mary had worked 5 hours less an ben had worked 6 hours
More. Mary would hv put in 2 hours more than ben.
How many hous did mary put in for the sci project?

Hi

drawing a model will be easier to \"see\"..

Ben --> 1 unit
Mary --> 1 unit + 6 + 2 + 5 = 1 unit + 13
total --> 2 units + 13 = 49
1 unit --> 18
Mary --> 31 hours
Ben --> 18 hours

Thanks![/quote]u r welcome

cheers.

[Awonder]

Hi, need some help with this problem. TIA.


John is 10 years older than Tommy. In 4 years’ time, he will be twice as old as Tommy. How old is John now?

Thanks.

[ongmt]

Box A and Box B obtain the same number of apples. The number of red apples in Box A is 2/3 of that in Box B. The number of green apples in Box B is 1/4 of that in Box A, What fraction of apples in Box B are red?

[MathIzzzFun]

ongmt:

Box A and Box B obtain the same number of apples. The number of red apples in Box A is 2/3 of that in Box B. The number of green apples in Box B is 1/4 of that in Box A, What fraction of apples in Box B are red?

Hi

Difference in green apples = Difference in red apples.
Green apples, A : B --> 4u : 1u
Red apples, A : B --> 2 : 3 --> 6u : 9u
Box B, red : green --> 9u : 1u = 9 : 1

you can also look at these similar questions for the model approach
- http://www.flickr.com/photos/62167097@N02/5703951396/in/photostream
- http://www.flickr.com/photos/62167097@N02/5760364658/in/photostream

cheers.