Q&A - PSLE Math

[Shimmer]

Hi


Anyone help on this question.

Nancy started cycling from point X to the library at 9am at a uniform speed of 500m/min. At 9.10am, Nancy passed Sam as he started cycling from Y towards the library at a certain uniform speed. At 9.20am, Sam was 1 km ahead of Nancy. They continued cycling towards the library and Sam reached there at 9.37am.
A) What was Sam speed ? Leave your answer in km/ h.
B) What was the distance from point X to the library ? Leave your answer in km.

[tianzhu]

Michaelia0816:

Pls try not to use algebra, I am easily confused. Help with this Qn,


Motorist takes 1/2 h less than the usual time to travel from Town K to Town J when he increases his average speed by 10%. For a distance of 100km, he will take 1/3 h less than the usual time if his speed is 20% more than the average speed from Town K to Town J. Find the distance between Town K and Town J.

Hi girl

Where did you get this question from?

I believe it’s not your typical PSLE type of question.

Use “GC”; actually it’s not too tedious to arrive at the solution by guess and check in this case. The numbers are pretty neat.

The answer is 275 km.

Best wishes

[whitety]

tianzhu:

whitety:

Hi, need help to solve this qn.


A train left a terminal with some passengers. At station A, 3/5 of these passengers alighted and 50 passengers boarded the train. At station B, 118 passengers alighted and 38 passengers boarded the train. The number of passengers on the train now is 1/3 the number of passengers on the train when it left the terminal.
a) Find the number of passengers on the train when it left station B
b) How many passengers were there on the train when it left the terminal?

Thanks!

Hi

You may use MD or work using units.

At point of leaving terminal ------ 15 units

At point of leaving Station A ----- 6 units + 50

At station B

118 – 38 ------ 80

6 units + 50 – 80 ------- 6 units – 30

This is 1/3 the number of passengers on the train when it left the terminal.

6 units – 30 ----- 5 units

Hence, 1 unit ----- 30
\t
Number of passengers on the train when it left station B ------ 6*30 – 30 ------ 150

Number of passengers on the train when it left the terminal ------- 15*30 ------ 450

Best wishes

Hi tianzhu,

Thank you very much !

[tianzhu]

Shimmer:

Hi


Anyone help on this question.

Nancy started cycling from point X to the library at 9am at a uniform speed of 500m/min. At 9.10am, Nancy passed Sam as he started cycling from Y towards the library at a certain uniform speed. At 9.20am, Sam was 1 km ahead of Nancy. They continued cycling towards the library and Sam reached there at 9.37am.
A) What was Sam speed ? Leave your answer in km/ h.
B) What was the distance from point X to the library ? Leave your answer in km.

Hi

Any diagram provided for this question?

From 9.10am to 9.20am

In 10 minutes, Nancy covered 500*10 ------ 5000 m ------ 5 km

In 10 minutes, Sam covered ------ 5 + 1 ------ 6 km.

Sam’s speed ------ 6/1/6 ----- 36 km/h

From 9.10am to 9.37am, Sam travelled 27/60*36 ------ 16.2

Distance from point X to the library ------ 5 + 16.2 ------ 21.2 km

Best wishes

[Shimmer]

tianzhu:

Shimmer:

Hi


Anyone help on this question.

Nancy started cycling from point X to the library at 9am at a uniform speed of 500m/min. At 9.10am, Nancy passed Sam as he started cycling from Y towards the library at a certain uniform speed. At 9.20am, Sam was 1 km ahead of Nancy. They continued cycling towards the library and Sam reached there at 9.37am.
A) What was Sam speed ? Leave your answer in km/ h.
B) What was the distance from point X to the library ? Leave your answer in km.

Hi

Any diagram provided for this question?

From 9.10am to 9.20am

In 10 minutes, Nancy covered 500*10 ------ 5000 m ------ 5 km

In 10 minutes, Sam covered ------ 5 + 1 ------ 6 km.

Sam’s speed ------ 6/1/6 ----- 36 km/h

From 9.10am to 9.37am, Sam travelled 27/60*36 ------ 16.2

Distance from point X to the library ------ 5 + 16.2 ------ 21.2 km

Best wishes

Thanks Tianzhu, but Nancy start at 9am not 9.10am.

[Shimmer]

One more question please !


Bottles A, B and C contains 2.03 litres of oil altogether. 1/5 of the oil in bottle A is transferred to bottle B, after that 1/5 of the oil in bottle B is transferred to bottle C. Now bottle A has twice the amount of oil in bottle B and bottle B has twice the amount of oil in bottle C.
A) How much oil was transferred from bottle A to B ?
B) How much oil was in bottle C at first ?

[Michaelia0816]

Thx pls help with my next post

[Michaelia0816]

Thx pls help with my next post

[tianzhu]

Shimmer:

Thanks Tianzhu, but Nancy start at 9am not 9.10am.

Hi

Yes, Nancy [email protected]

That's why we add 5 to 16.2

From 9am to 9.10am , Nancy covered 5 km.

Draw a simple diagram if it's not provided in the original question.

Best wishes

[Michaelia0816]

Thx, do help with the post I posted just now too