Tutor MathsGuru: Ask me for your burning Maths questions!

[Vanilla Cake]

Herbie:

Hi I have a speed qn. Can help?


Town B is located between Town A and C.
At 2pm, a train left Town B and travelled towards Town C.
2.5 hr later, another train left Town B for Town A.
At 6pm, the two trains were 569km apart.
What was the speed of the train travelling towards Town C if it was going at 35km/h faster than the other train?

Tx

113 km/h

[Herbie]

huh! Can show the steps?

[Vanilla Cake]

Herbie:

huh! Can show the steps?

Sure.

(ux1.5)+(u+35)4= 569
Solve for u and you will get u =78 km/h
(78+35) km/h = 113 km/h

Pls kindly wait for Dharma/Mathsguru's detailed solution.
Thanks.

Submitted by VC's mum.

[Herbie]

what does u represent? and how did you get the value of 1.5?

[Dharma]

Vanilla Cake:

Herbie:

huh! Can show the steps?

Sure.

(ux1.5)+(u+35)4= 569
Solve for u and you will get u =78 km/h
(78+35) km/h = 113 km/h

Pls kindly wait for Dharma/Mathsguru's detailed solution.
Thanks.

Submitted by VC's mum.

2pm to 4.30pm
Train towards C : Dist = 2.5Vc
Train towards A : Dist = 0

2pm to 6pm
Train towards C : Dist = 4Vc
Train towards A : Dist = 1.5Va

Total distance = 4Vc + 1.5Va = 569
Difference in speed =Vc – Va = 35

Solving gives Vc = 113km/h

[david59]

Herbie:

Hi I have a speed qn. Can help?


Town B is located between Town A and C.
At 2pm, a train left Town B and travelled towards Town C.
2.5 hr later, another train left Town B for Town A.
At 6pm, the two trains were 569km apart.
What was the speed of the train travelling towards Town C if it was going at 35km/h faster than the other train?

Tx

Using linear line approach to solving the qn. Pls see attached
http://www.postimage.org/image.php?v=aVmj_5A

[Herbie]

sorry, what does Vc and Va stand for?

:shock:

[WWong]

Newbies here, with ratio problem to solve, which goes this way as below:


The ratio of the number of daisies to the number of orchids in Basket A and Basket B are 2:1 and 2:7 respectively. Basket A has 2/3 times as many flowers as Basket B.

(a) Find the ratio of the number of daisies in Basket B to the number of daisies in Basket A.

(b) When 18 orchids are moved from Basket B to Basket A, the ratio of the number of daisies to the number of orchids in Basket A becomes 8:7. How many orchids are there in Basket A now?

Thanks.

[Dharma]

Herbie:

sorry, what does Vc and Va stand for?

:shock:

Sorry Herbie,

Vc = speed of train towards Town C
Va = speed of train towards Town A

[Dharma]

WWong:

Newbies here, with ratio problem to solve, which goes this way as below:


The ratio of the number of daisies to the number of orchids in Basket A and Basket B are 2:1 and 2:7 respectively. Basket A has 2/3 times as many flowers as Basket B.

(a) Find the ratio of the number of daisies in Basket B to the number of daisies in Basket A.

(b) When 18 orchids are moved from Basket B to Basket A, the ratio of the number of daisies to the number of orchids in Basket A becomes 8:7. How many orchids are there in Basket A now?

Thanks.

Ratio of total no. of flowers in Basket A : Basket B = 2 : 3

Basket B :
Daisies : 2u
Orchids : 7u
Total : 9u

Basket A (Total = 2/3 x 9u = 6u)
Daisies : 4u
Orchids : 2u

(a)\tRatio = 2: 4 = 1 : 2
(b)\tBasket B (Orchids) : 7u - 18
Basket A (Orchids) = 2u + 18

\tNew ratio of daisies to orchids in Basket A = 8 : 7
\t4u/(2u + 18 ) = 8/7
28u = 16u + 144
12u = 144
1u = 12

No. of orchids in Basket A now= 2u + 18 = 24 + 18 = 42