Tutor MathsGuru: Ask me for your burning Maths questions!

[mathsguru]

imacsg:

Hi MATHSGURU,


Anyone can help me to solve this question:

City P and City Q are 2364km apart. City R is 280km nearer to City Q than City P. A Bus left City R for City P and stopped to refill petrol halfway in his journey. How far was the bus from City Q?

The Answer is 1703km....
Can anyone check whether it is correct?

Thanks

Hi Imacsg,

Personally, I think there's a little typo in the question if the answer is 1703km. It should be \"City R is 280km nearer to City Q than to City P.\" Otherwise, it would seem that the distance between City R and City Q is 280 km shorter than the distance between City P and City Q. Perhaps, that's why you were confused too?

Anyway, here's the solution to obtain 1703 km:

http://www.postimage.org/image.php?v=aVxKUoi

Cheers,
MathsGuru

[rain29]

Hi ChiefKiasu & Mathsguru,


Thank you very much for your help!

Have a great weekend.

[YLH88]

Hi Mathsguru,


Thank you very much !!

Have a nice weekend

[imacsg]

Hi MATHSGURU,


Thanks for your clear explaination. Now I understand.

Have a good week end.

[Daddy]

Thanks Vanilla Cake & mathsguru for the quest 1 ans: 52 years.


But I still not understand.
For this statement \"Find her age when her son will be half as old as she. \"
half as old as she = 39/2 = 19.5 years.

I do not understand Sheila's son is 26 years.

Thanks
Daddy.

[Dharma]

Daddy:

Thanks Vanilla Cake & mathsguru for the quest 1 ans: 52 years.


But I still not understand.
For this statement \"Find her age when her son will be half as old as she. \"
half as old as she = 39/2 = 19.5 years.

I do not understand Sheila's son is 26 years.

Thanks
Daddy.

Hi Daddy,

For this problem, Vanilla Cake’s and mathsguru’s solutions are very clear already. However, I will put the steps in simple form so that you are able to follow them.

Sheila is 39 years old. She is thrice as old as her son. Find her age when her son will be half as old as she.

Step 1
When Sheila is 39 years old, her son is 1/3 her age i.e. 1/3 x 39 = 13 years old.
# The ratio between Sheila’s age and her son’s age = 3:1

Step 2
You need to understand that the difference in age between Sheila and her son is ALWAYS the SAME.
Difference in age = 39 – 13 = 26 yrs

Step 3
Question now requires you to find Sheila’s age when her son is half her age. #Sheila’s age is NOT 39 yrs old when her son is half her age. We need to find out Sheila’s age when her son is half her age.
Here the ratio between Sheila’s age : Son’s age = 2 units :1 unit = 2:1

Step 4
Difference in age = 2 units – 1 unit = 1 unit = 26 yrs
Sheila’s age = 2 units = 2x26 = 52 yrs old
Son’s age = 1 unit = 26 yrs old.

[sachiko]

Dear MathsGuru


Please guide me to solve this problem sum:

A tank and a pail have a total of 8346ml of water. If 314ml of water was poured from the pail to the tank, the amount of water in the tank is 12 times more than the pail. What is the volume of the pail at first?

Thank you.

[sexymama]

Help!!!


Anna and May shared a sum of money.
Anna spent $30 each day while
May spent $15 each day. After May had
spent all her money, Anna still had $230 left.
If Anna spent $15 each day and May spent $30 each day,
Anna still had $500 after May had spent all her money.
How much did each girl have at first?

[persistent]

This is the "After" situation:


Tank —> 12 units
Pail -----> 1 unit

Since the total volume of water remain constant,

13 units = 8346 ml
1 unit = 8346 / 13 = 642 ml

Pail = 1 unit = 642 ml

Ans. At first, Pail = 642 + 314 = 956 ml

[YLH88]

Hi Mathsguru,


Sorry to trouble you again. Need your help with the below 3 questions.

1) Both Tim and Ron have some money. If Tim spends $60 each day and Ron spends $30 each day, Tim would have $300 left by the time Ron spends all his money. If Tim spends $30 each day and Ron spends $60 each day, Tim would have $1200 left by the time Ron spends all his money. How much money does each boy have ?


2) Kylie and Julie had an equal amount of money. Each day, Kylie spent $6 and Julie spent $10. When Julie had $18 left, Kylie had 3 times as much money left as Julie. How much money did each of them have at first ?


3) Peter, James and Ron shared to buy a box of chocolates. Peter paid 2/7 the total amount paid by James and Ron. Peter paid 3/4 the amount Ron paid. If Ron paid $8 more than Peter, how much money did James pay for the chocolates ?


Thank you very much !!