Tutor MathsGuru: Ask me for your burning Maths questions!

[Despair]

Hi all, please help me with this question.


A truck started its journey from Village Tiku to Village Chuka at 16 30. At the same time, a bus started travelling from Village Chuka to Village Tiku.

The ratio of the truck’s speed to the bus’s speed is 8:3.At 17 00 the two vehicles passed each other. The truck increased its speed and reached Village Chuka at 17 20 while the bus increased its speed by 18km/h.

When the truck reached Village Chuka, the bus is still 40 km away from Village Tiku.

What is the distance between the two villages?

Thanks in advance.

[Herbie]

i hv one qn.

3 taps have been installed to fill a container with water.
Tap a and b together will take 3 hours to fill the containers completely.
Tap c and b together will take 4 hours to fill the same container completely. Tap a and c together will take 6 hours to fill the same container completely.
How long will it take for the three taps together to fill thelntaiers completely?

Can we say 2a+ 2b + 2c =13 hours
Hence a +b+c=6.5 hours?

[MathIzzzFun]

Herbie:

i hv one qn.

3 taps have been installed to fill a container with water.
Tap a and b together will take 3 hours to fill the containers completely.
Tap c and b together will take 4 hours to fill the same container completely. Tap a and c together will take 6 hours to fill the same container completely.
How long will it take for the three taps together to fill thelntaiers completely?

Can we say 2a+ 2b + 2c =13 hours
Hence a +b+c=6.5 hours?

Hi

For rate questions, we cannot do it that way. By reasoning, we would expect that when all taps are turned on, it will take less than 3 hours to fill the container.

In 1h, a+b fills 1/3, b+c fills 1/4, a+c fills 1/6
so 2(a+b+c) fills (1/3+1/4+1/6) of the container... I think you can continue from here ..

cheers.

[Herbie]

mathsizzfun, many thanks i understand liao.

[MathIzzzFun]

Herbie:

mathsizzfun, many thanks i understand liao.

u r welcome

cheers.

[kwcllf]

The ratio of Ahmad’s age to Suri’s is 5:3 now. 4 years ago, the ratio was 7:4. How old is Ahmad now?

[kwcllf]

The ratio of Ahmad’s age to Suri’s is 5:3 now. 4 years ago, the ratio was 7:4. How old is Ahmad now?

[MathIzzzFun]

kwcllf:

The ratio of Ahmad's age to Suri's is 5:3 now. 4 years ago, the ratio was 7:4. How old is Ahmad now?

Hi

For problem sums on \"age\", the key is the age difference will remain the same.

Ratio of Ahmad's age to Suri's age, four years ago = 7:4 (difference of 3) = 14u : 8u (difference of 6u)
Ratio of Ahmad's age to Suri's age, now = 5:3 (difference of 2) = 15u : 9u (difference of 6u)

So, 15u - 14u = 1u = 4
Ahmad's age now = 15 x 4 = 60 years old.

cheers.

[kwcllf]

Thanks Again MathIzzzFun!

[MathIzzzFun]

kwcllf:

Thanks Again MathIzzzFun!

u r welcome

cheers.