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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • T Offline
      tianzhu
      last edited by

      shell:

      it is 2/3
      Hi

      Thank you for your reply.

      I'll send the solution to you later.

      Best wishes

      1 Reply Last reply Reply Quote 0
      • T Offline
        tianzhu
        last edited by

        jjxy mum:
        Hi,

        I need help on this question .

        Cynthia walked to the library from school and at the same time, Mrs
        Lee walked to school from the library. If they walked towards each other, they would meet 4 min later. If they walked in the same direction, it would take Cynthia 20 mins to catch up with Mrs Lee whose walking speed was 40 m/min. How far was the library from the school? Assume that Mrs Lee's walking speed was constant at all times. ( Ans: 400m)
        Hi

        This question has been discussed before.

        As in any Speed questions, start with a simple diagram.

        In 20 minutes, Mrs Lee covered 20*40 or 800 m

        In 4 minutes, Mrs Lee covered 4*40 or 160 m

        In 16 minutes, CYTHNIA covered 960 m (800+160)

        In 4 minutes, CYTHNIA covered 240 m (960/4)

        Distance between library and school ------- 400 m (240+160)

        Best wishes

        1 Reply Last reply Reply Quote 0
        • T Offline
          tianzhu
          last edited by

          shell:

          it is 2/3
          Hi

          A neat way is to use MD.

          Due to time constraints, I’ll work using units.

          2/3 of the total value of the twenty-cent coins is the same as 1/2 of the total value of the fifty-cent coins.

          Total value of twenty-cent coins ------ 3 units

          Total value of fifty-cent coins ------ 4 units

          If Beatrice spends 4 fifty-cent coins, the value of the twenty-cent coins and the value of the remaining fifty-cent coins will be the same.

          4 fifty-cent coins ------- $2

          4 units – 2 ------ 3 units

          1unit ------- 2

          Total value of twenty-cent coins ------ 3 units ------ $6

          Number of twenty-cent coins ------- 30 (600/20).

          Another way is to use “SL” and work in a tabulated list.

          20 cents: 50cents ------- 3:4 ------- 6:8

          8 - 2 ------ 6, hence the condition is satisfied.

          Total value of twenty-cent coins ------ 3 units ------ $6

          Number of twenty-cent coins ------- 30 (600/20)

          Best wishes

          1 Reply Last reply Reply Quote 0
          • J Offline
            jjxy mum
            last edited by

            tianzhu:
            jjxy mum:

            Hi,

            I need help on this question .

            Cynthia walked to the library from school and at the same time, Mrs
            Lee walked to school from the library. If they walked towards each other, they would meet 4 min later. If they walked in the same direction, it would take Cynthia 20 mins to catch up with Mrs Lee whose walking speed was 40 m/min. How far was the library from the school? Assume that Mrs Lee's walking speed was constant at all times. ( Ans: 400m)

            Hi

            This question has been discussed before.

            As in any Speed questions, start with a simple diagram.

            In 20 minutes, Mrs Lee covered 20*40 or 800 m

            In 4 minutes, Mrs Lee covered 4*40 or 160 m

            In 16 minutes, CYTHNIA covered 960 m (800+160)

            In 4 minutes, CYTHNIA covered 240 m (960/4)

            Distance between library and school ------- 400 m (240+160)

            Best wishes


            Hi,

            Thank you for your reply, we are still quite confused on the Cynthia's portion.

            1 Reply Last reply Reply Quote 0
            • T Offline
              tianzhu
              last edited by

              jjxy mum:

              Hi,

              Thank you for your reply, we are still quite confused on the Cynthia's portion.
              Hi

              Ok, managed to find the pictorial, hope this helps.

              Best wishes

              http://farm9.staticflickr.com/8155/7674972602_fac8ddb8c5_z.jpg\">

              1 Reply Last reply Reply Quote 0
              • S Offline
                shell
                last edited by

                Hi


                A neat way is to use MD.

                Due to time constraints, I’ll work using units.

                2/3 of the total value of the twenty-cent coins is the same as 1/2 of the total value of the fifty-cent coins.

                Total value of twenty-cent coins ------ 3 units

                Total value of fifty-cent coins ------ 4 units

                If Beatrice spends 4 fifty-cent coins, the value of the twenty-cent coins and the value of the remaining fifty-cent coins will be the same.

                4 fifty-cent coins ------- $2

                4 units – 2 ------ 3 units

                1unit ------- 2

                Total value of twenty-cent coins ------ 3 units ------ $6

                Number of twenty-cent coins ------- 30 (600/20).

                Another way is to use “SL” and work in a tabulated list.

                20 cents: 50cents ------- 3:4 ------- 6:8

                8 - 2 ------ 6, hence the condition is satisfied.

                Total value of twenty-cent coins ------ 3 units ------ $6

                Number of twenty-cent coins ------- 30 (600/20)

                Best wishes[/quote]

                Thank You!!!! :boogie: :rahrah:

                1 Reply Last reply Reply Quote 0
                • I Offline
                  i_am_not_a_parent
                  last edited by

                  :lovesite: :thankyou: :udawoman: or :udaman:

                  Thanks to everyone!!

                  1 Reply Last reply Reply Quote 0
                  • Z Offline
                    zanen
                    last edited by

                    help ls 😞 Two cars race around a circular track at constant speeds starting at the same point. If they travel in opposite directions, then they meet every 30 seconds. If they travel in the same direction, then they meet every two minutes. If the track is 1800m long,what is the speed of each car?

                    1 Reply Last reply Reply Quote 0
                    • T Offline
                      tianzhu
                      last edited by

                      zanen:
                      help ls 😞 Two cars race around a circular track at constant speeds starting at the same point. If they travel in opposite directions, then they meet every 30 seconds. If they travel in the same direction, then they meet every two minutes. If the track is 1800m long,what is the speed of each car?

                      Hi

                      Could you share with us where you take this question from?

                      Is this a PSLE type of question?

                      The answers to your question are 22.5m/s and 37.5m/s.

                      Best wishes

                      1 Reply Last reply Reply Quote 0
                      • E Offline
                        enoawng
                        last edited by

                        tianzhu:

                        Hi

                        Could you share with us where you take this question from?

                        Is this a PSLE type of question?

                        The answers to your question are 22.5m/s and 37.5m/s.

                        Best wishes
                        Correct!

                        1 Reply Last reply Reply Quote 0

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