Q&A - PSLE Math

[Michaelia0816]

Next 2 questions…

3) Mr Kang wanted to travel from Town A to B. At first, he travelled at an average speed of 70 km/h. After travelling 84 km, ge increased his speed by 14 km/h to complete the remaining 1/3 of his journey.
A) What was the distance between Town A and Town B?
B) How much time could he saved if he travelled at a constant speed of 90km/h for the entire trip?

4) A car and a coach travelled from Town A to Town B. The coach left Town A at 0648 and it took 5 hr to reach Town B. The car started 30 min later than the coach and it took 4 hr to reach Town B. At what time did the car catch up the coach?

[Michaelia0816]

Next 3 question…

5) A cab driver drove from Town A To Town B. He passed a lorry driver who was driving at 100km/h in the opposite direction from Town B to Town A. One and a half hour after they passed each other, the cab driver arrived at Town B but the lorry driver was still 60km away from Town A.
A) Assuming that both drivers passed each other at mid-way between Town A and B, what is the total distance between the two towns?
B) If the lorry driver arrived in Town B at 1800, what time did he start to drive from Town A?

6) A van left Town X for Town Y at 8am. After travelling for 5hr at its usual speed,the van stopped for 30 min for lunch break. In order to reach Town Y at 4 pm, the speed of the van was increased by 16km/h.Find the distance between Town X and Town Y?

7)A car travelled from Town P to town Q at an average speed of 80km/h. at the same time, a bus travelled from Town Q to Town P at an average speed of 55 km/h. After travelling for 3/1/2 hours, the two vehicles were still 56km apart. Find the distance between the two towns?

[tianzhu]

Michaelia0816:

7)A car travelled from Town P to town Q at an average speed of 80km/h. at the same time, a bus travelled from Town Q to Town P at an average speed of 55 km/h. After travelling for 3/1/2 hours, the two vehicles were still 56km apart. Find the distance between the two towns?

Hi

Combined distance travelled by car ------ (80+55)*3.5 ------- 472.5

Distance between P and Q ------- 472.5+56 ------ 528.5km

Best wishes

[tianzhu]

Michaelia0816:

6) A van left Town X for Town Y at 8am. After travelling for 5hr at its usual speed,the van stopped for 30 min for lunch break. In order to reach Town Y at 4 pm, the speed of the van was increased by 16km/h.Find the distance between Town X and Town Y?

Hi

5h from 8am ------ 1pm
1pm ------- 4pm -------- 3h

But he increased speed by 16km/h to catch up with ½ h lunch.

In 2.5 h he covered (2.5*16) or 40 km more.

Usually the van took 1/2h to travel 40 km

Therefore its speed ------ 40*2 ------ 80 km/h

8am to 4pm ------8 h

Distance between X and Y -------- 80*8 ------ 640 km

Best wishes

[Michaelia0816]

Sorry to trouble u-.-, Tianzhu!!!

[Michaelia0816]

tianzhu:

Michaelia0816:

6) A van left Town X for Town Y at 8am. After travelling for 5hr at its usual speed,the van stopped for 30 min for lunch break. In order to reach Town Y at 4 pm, the speed of the van was increased by 16km/h.Find the distance between Town X and Town Y?

Hi

5h from 8am ------ 1pm
1pm ------- 4pm -------- 3h

But he increased speed by 16km/h to catch up with ½ h lunch.

In 2.5 h he covered (2.5*16) or 40 km more.

Usually the van took 1/2h to travel 40 km

Therefore its speed ------ 40*2 ------ 80 km/h

8am to 4pm ------8 h

Distance between X and Y -------- 50*8 ------ 640 km

Best wishes

Maybe is your typepo error, it should be 80.

[Michaelia0816]

tianzhu:

Michaelia0816:

Thank again, I had to admit I didn't think of that method to comple yeh.

Hi

You're welcome.

You are a smart young lady.You'll get better.

Best wishes

Thank for your praise!!!!

[Michaelia0816]

Left 5 more question to solve, pls help with method!! K?

[Michaelia0816]

Wish Tianzhu will help to solve the other 5 questions!

[tianzhu]

Michaelia0816:

Maybe is your typepo error, it should be 80.

Hi

It should be read as 80.

I'll revise the solution.

Best wishes