### June Vacation Chap 9.2 RATE (L5) Can he catch up with her?

Grace left home at 6.30 am to walk to school. 10 minutes later, her brother Shamus saw her wallet on the dining table. He grabbed the wallet and hopped onto his bicycle and rode after Grace.

Shamus rode his bicycle 3 times as fast as Grace walked.
Q1: What time was it when Shamus caught up with Grace?
Q2: If the school is 800m from home, did Shamus reach Grace before she arrived at school?

Use the following to guide you...
• What information do you know from the problem?
• What else do you need to know to solve the problem?
• Pick a reasonable number for the information you need.

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2. Q1: Shamus caught up with her at 6.35am
Q2: No, Shamus did not.

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4. Q1:The time was 6.45am
Q2:Grace have not arrived at school when Shamus reach her

5. Q1: Shamus caught up at 6.45am
Q2: Shamus failed to reach her before she reach school.

6. Q1. 6.45am
Q2. Shamus can catch up with Grace if Grace is walking at a pace of 10m/min.

7. Q1 . Shamus caught up with Grace at 6:45 am.

Q2 . Yes, Shamus reached Grace before she arrived at school.

8. Qn1: Shamus caught up with Grace at 6.45 a.m.

Qn2: Yes, Shamus reached Grace before she arrived at school.

9. 1. Shamus caught up with Grace at 6:45 am.

2. No, Shamus did not reach Grace before she arrived at school

10. Correction:
Shamus did not manage to catch up with Grace

11. Q1:Shamus caught up with Grace at 6.45am.

Q2:Shamus reached Grace before she arrived at school

12. Q1: He caught up with her at 6.45 am.
Q2: He already reached Grace before she arrived at school.

13. Let a be the amount of time in between Shamus finding the wallet and returning it to Grace.
1/3(a+10 min)=a
(Above equation is the valid one so that Shamus can catch up with Grace)
One of the few numbers than can replace a is 5.

10+5=15

In 15 minutes, Shamus travelled 800m. So his speed was 0.89m/s (2 d.p.)

Q1: Shamus caught up with Grace at 6.45am.
Q2: Yes, He caught up with Grace before she reached school assuming Shamus had a speed of 0.89m/s (2.d.p).

Anyway the names are so S201-ish LOLS XD

14. Q1:the time was 6.45am.

Q2Yes, he caught up with Grace before she reached school.

15. 1. Shamus caught up with his sister at 6.45am.
2. Shamus had reached Grace before she arrived at school.

16. Q1. Shamus caught up with Grace at 6.45a.m.
Q2. Shamus caught up with Grace before she reached school.

Jiajun

17. Q1 . It was 6.45 am
Q2 . Grace had not reached the school when her brother caught up with her .

18. Q1. Shams caught up with Grace at 6.45am
Q2. Grace had not reached school when Shamus caught up with her.

19. Q1. He caught with Grace at 6.45am
Q2. Grace had not reached school.

20. Q1. Shamus caught up with Grace at 6.45am
Q2. Yes. Shamus reached Grace before she arrived at school.

21. Well, interestingly, many of you are able to provide an answer without highlighting the assumptions. Under what conditions would your answer be valid?

Check out Lovy's attempt... Any clues?

What are your responses to the 3 pointers at the end of the question?
What info is available? What's not?