Q&A - PSLE Math
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Ed set off from his home for Town Q at 11.20 am . by 1 pm, he had covered 2/5 of the journey aft travelling at an average speed of 60km/h. After that, he increased his speed by 20% for the rest of the journey.
A) what was the distance from Ed home to town Q?
B) At what time did Ed arrived in Town Q -
fightingmom:
HiHi,
Pls help in the working steps for following question from Rosyth SA1 2011 Q12:
Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700
TIA
A similar question was discussed earlier.
Four children Min, Nat, Tom and Caleb each have savings. The amount of money Nat has is 1/3 of the total amount of money Tom , Min and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nat , Min And Caleb have. The amount of money Min has is 1/5 of the total amount of Nat, Tom and Caleb have. If Caleb saves $1035 . How much do the four children have altogether?
The total amount of money in the three scenarios is the same. Make the total number of units the same.
A common multiple of 4, 5 and 6 is 60.
Nat : (Tom + Min + Caleb) ------ 1:3 ((4) ------ 15:45 (60)
Tom : (Nat + Min + Caleb) ------ 1:4 (5) ------ 12:48 (60)
Min : (Nat + Tom + Caleb) ------ 1:5 (6) ------ 10:50 (60)
Nat ------ 15 units
Tom ------ 12 units
Min ------- 10 units
Caleb ------ 23 units
23 units ------ 1035
1 unit ------ 45
60*45 ------ 2700
Best wishes -
tianzhu:
Hi tianzhu,
Hifightingmom:
Hi,
Pls help in the working steps for following question from Rosyth SA1 2011 Q12:
Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700
TIA
A similar question was discussed earlier.
Four children Min, Nat, Tom and Caleb each have savings. The amount of money Nat has is 1/3 of the total amount of money Tom , Min and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nat , Min And Caleb have. The amount of money Min has is 1/5 of the total amount of Nat, Tom and Caleb have. If Caleb saves $1035 . How much do the four children have altogether?
The total amount of money in the three scenarios is the same. Make the total number of units the same.
A common multiple of 4, 5 and 6 is 60.
Nat : (Tom + Min + Caleb) ------ 1:3 ((4) ------ 15:45 (60)
Tom : (Nat + Min + Caleb) ------ 1:4 (5) ------ 12:48 (60)
Min : (Nat + Tom + Caleb) ------ 1:5 (6) ------ 10:50 (60)
Nat ------ 15 units
Tom ------ 12 units
Min ------- 10 units
Caleb ------ 23 units
23 units ------ 1035
1 unit ------ 45
60*45 ------ 2700
Best wishes
Sorry can u explain why u add Min in the first 2 equation / ratio portion ? -
fightingmom:
Hi tianzhu,
Hitianzhu:
[quote=\"fightingmom\"]Hi,
Pls help in the working steps for following question from Rosyth SA1 2011 Q12:
Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700
TIA
A similar question was discussed earlier.
Four children Min, Nat, Tom and Caleb each have savings. The amount of money Nat has is 1/3 of the total amount of money Tom , Min and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nat , Min And Caleb have. The amount of money Min has is 1/5 of the total amount of Nat, Tom and Caleb have. If Caleb saves $1035 . How much do the four children have altogether?
The total amount of money in the three scenarios is the same. Make the total number of units the same.
A common multiple of 4, 5 and 6 is 60.
Nat : (Tom + Min + Caleb) ------ 1:3 ((4) ------ 15:45 (60)
Tom : (Nat + Min + Caleb) ------ 1:4 (5) ------ 12:48 (60)
Min : (Nat + Tom + Caleb) ------ 1:5 (6) ------ 10:50 (60)
Nat ------ 15 units
Tom ------ 12 units
Min ------- 10 units
Caleb ------ 23 units
23 units ------ 1035
1 unit ------ 45
60*45 ------ 2700
Best wishes
Sorry can u explain why u add Min in the first 2 equation / ratio portion ?[/quote]
Hi tianzhu,
Ok I spotted the difference in your question posted and mine. I think the question sheet that I bought did not have Min in sentence 2 & 3. No wonder my DD and I can't solve it.
Thank you for the working steps! -
7)Car x, car y and car z together crossed point a at noon as they were heading for point b. by 1.30 pm, car x was 75 km from point a and car y was ahead of car x by 6km. By this time, car x had already travelled the combined distance of the other two cars from point a. What was the difference in speed between car z and y?
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the ratio of a van’s speed to that of a car’s speed was 3:5. If the van took 1 minutes more to cover a distance of 0.5 km than the car, find the speed of the van in km/h. ( hint: first convert 0.5 km/min to km/h) -
9)A motorist took 3 h to travel from p to r while a cyclist took 5h20min to travel from s to q. If both of them set off at the same time, how far away from p did they pass by each other?
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Roger took 1/1/3 h to drive from Greenland to pinkcity at an average speedof 0km/h. After this, he increased his speed by 25% and continued driving to redsville for 40 minutes.
A) how far did Roger drive together?
B) find his average speed for the whole journey? -
Hi Michaelia0816
ah girl
Good Morning.
I observe you’re posting quite a number of questions.
Do you have difficulties solving them or just wanted to check the answers?
Best wishes -
Peter set off from x for z at 10.45 am at a uniform speed of 64 km/h. 20 minute later, Dave set off from z to x at the uniform speed and he passed Peter at y.
The distance between x and y is 96km and the distance between y and z is 140km.
A) find the speed at which Dave was travelling?
B) at what time would Dave arrive at x?
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