Q&A - PSLE Math
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3) Mike and Alex started cycling at 9.15 am and 9.30 am respectively. They started off from the same location but in opposite directions along a straight road. By 11 am, they were 80km apart? If Mike was cycling at an average speed of 20km/h, find the average speed of Alex?
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4) Town J and Town K were 450km apart. Nancy started to drive from Town J for Town K at 10am. At hour later, Jenny started to drive from Town K for Town J at 75% the average speed of Nancy. they met each other at 1pm along the way.
A) at what speed was nancy driving?
b) How far from Town J did they met each other? -
5) At 10am, Wang set off from Town A for Town B at an average speed of 64 km/h. at the same time, Han set off from Town B for Town A at an speed 25% faster than Wang. they were 144 km apart after 2/3/4 h.
A) How far apart were the two towns?
B) At what time would they pass each other along the way? -
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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