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    Tutor MathsGuru: Ask me for your burning Maths questions!

    Scheduled Pinned Locked Moved Primary Schools - Academic Support
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    • S Offline
      super star
      last edited by

      pls hlep me with this problem

      Aaron and kumar took part in a 24km marathon.Aaron ran half the distance at a speed of 10km/h and jogged the rest of the way at a speed of 8 km/h.kumar ran half of his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 8 am ,at what time would each of them finish?

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      • S Offline
        super star
        last edited by

        thanks dharma pls explain how you got the time ratio as 1:2

        Dharma:
        super star:

        please help me with this problem

        Adrian and bob started driving at the same time. bob took 6hrs to complete his journey while adrian took 9hrs to complete his.After 3 hrs ,the 2 men were left with the same distance to complete.what is the ratio of the distance of bob's journey to the distance of adrian's journey.?

        Time ratio => Bob : Adrian = 1 : 2
        Speed ratio => Bob : Adrian = 2 : 1

        Distance ratio => Bob : Adrian = (2 x 6) : (1 x 9) = 4 : 3

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        • H Offline
          hljthjrh
          last edited by

          super star:
          Is the ans 8:35am
          blessedami:

          [quote=\"hljthjrh\"]
          No, the answer is not 8.50am. My answer is also different from the teacher's. Posted here to find out how others interpret the question.

          Is the answer 8.35 am?

          [/quote]Yes the answer is835 am. How do u interpret the question? U took 9am as the time on Peter's watch ?

          1 Reply Last reply Reply Quote 0
          • B Offline
            blessedami
            last edited by

            hljthjrh:
            super star:

            Is the ans 8:35am[quote=\"blessedami\"]
            Is the answer 8.35 am?

            Yes the answer is835 am. How do u interpret the question? U took 9am as the time on Peter's watch ?[/quote]Hi,

            My DS interpreted it like that because according to the question Peter reached \"on time \" and that time is 9 am, \"according to his watch\".

            Since his watch is 15 minutes fast, the actual time is only 8.45 am. Ali reached earlier by 10 mins, which is 8.35 am.

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            • B Offline
              blessedami
              last edited by

              super star:
              pls hlep me with this problem

              Aaron and kumar took part in a 24km marathon.Aaron ran half the distance at a speed of 10km/h and jogged the rest of the way at a speed of 8 km/h.kumar ran half of his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 8 am ,at what time would each of them finish?

              Since Aaron ran half the distance at 10km/h and the other half at 8 km/h;

              12km÷10km/h= 1 1/5 h= 1 h 12 min
              12km÷8km/h=11/2 h = 1 h 30 min
              Total time taken by Aaron is 2 h 50 min
              He will finish at 10. 50 am

              For Kumar, he ran half of his time at 12 km/h and the other half at 6 km/h
              1/2 t x 12 km/h + 1/2 t x 6 km/h = 24 km
              1/2 t x 18 km/ h = 24 km
              1/2 t = 24 km ÷ 18 km/h = 1 h 20 min
              t= 1h 20 min x 2 = 2 h 40 m
              So, he will finish at 10. 40 am

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              • A Offline
                Almighty
                last edited by

                super star:
                please help me with these problems


                (ii)How many cubes of side 2cm can be fitted into Box A of dimension 12cm by 5 cm by 7cm? my ans is 52...the ans key says 36.which is correct. pls explain
                Hi Superstar,

                No. of cubes in the length -------12/2= 6\t\t\t
                \t\t\t\t\t\t
                No. of cubes in breadth --------- 5/2 = 2.5 (Which means only 2 cubes can be fitted)\t\t\t\t\t\t\t\t\t\t
                No. of cubes in height ---------- 7/2 = 3.5 (Which means only 3 cubes can be fitted )\t\t\t\t\t\t\t\t\t\t\t
                No of cubes = 6 X 2 X 3\t\t\t\t\t\t\t\t\t
                = 36.

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                • T Offline
                  Tang
                  last edited by

                  blessedami:
                  starlight1968sg:

                  [quote=\"Tang\"] Hi,


                  A - largest, E - smallest

                  A + B = 139

                  A + C = 137

                  Based on answer above C = 62, so A = 137 - 62 = 75

                  and B = 139 - 75 = 64


                  E + D = 105

                  E + C = 113

                  Similarly, E = 113 - 62 = 51 and D = 105 - 51 = 54

                  A, B, C, D, E --> 75, 64, 62, 54, 51

                  However the mass of 2 are:

                  139, 137, 129, 126, 126, 118, 116, 115, 113 and 105

                  These do not tally with those numbers given in the question.

                  Any comments?

                  I don't understand that given solution too.

                  Hi,

                  My DS worked it out like this:

                  Let the boys in the order of lightest to heaviest be v,w,x,y,z

                  The weight of the two lightest boys, v and w is 105

                  So,
                  v+w=105 )
                  v+x=113 )

                  2 v + w + x = 105 + 113 = 218
                  2 v = 218 - 118 = 100
                  v = 100/2 = 50


                  v+y=115
                  v+z=116

                  So w = 105 - 50 = 55, x = 113 - 50 = 63, y = 115 - 50 = 65, z = 116 - 50 = 66


                  w+x=118 w + x = 55 + 63 = 118 OK
                  w+y=124 w + y = 55 + 65 = 120 Don't tally!
                  w+z=125 w + z = 55 + 66 = 121 Don't tally!

                  x+y=130 x + y = 63 + 65 = 128 Don't tally!
                  x+z=137 x + z = 63 + 66 = 129 Dpn't tally!

                  y+z=139 y + z = 65 + 66 = 131 Don't tally!

                  So in total there would be four v, four w, four x, four y and four z.

                  Total weight would be 1224kg
                  So, 4(v+w+x+y+z) --> 1224kg
                  v+w+x+y+z--> 1224kg/4= 306 kg

                  Since the two lightest weigh 105 kg and the two heaviest weigh 139 kg, the third heaviest or the last boy weighs, 306 kg- 139 kg- 105 kg= 62 kg[/i][/quote]
                  Hi,

                  See comments underlined.

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                  • B Offline
                    beauty queen
                    last edited by

                    Mrs Sitoh has just enough flour to bake either 12p muffins or 9r pies. If she has already baked 40 muffins and 3r pies how many more muffins can she still bake?



                    please help

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                    • A Offline
                      Almighty
                      last edited by

                      blessedami:
                      super star:

                      pls hlep me with this problem

                      Aaron and kumar took part in a 24km marathon.Aaron ran half the distance at a speed of 10km/h and jogged the rest of the way at a speed of 8 km/h.kumar ran half of his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 8 am ,at what time would each of them finish?


                      Since Aaron ran half the distance at 10km/h and the other half at 8 km/h;

                      12km÷10km/h= 1 1/5 h= 1 h 12 min
                      12km÷8km/h=11/2 h = 1 h 30 min
                      Total time taken by Aaron is 2 h 50 min
                      He will finish at 10. 50 am

                      For Kumar, he ran half of his time at 12 km/h and the other half at 6 km/h
                      1/2 t x 12 km/h + 1/2 t x 6 km/h = 24 km
                      1/2 t x 18 km/ h = 24 km
                      1/2 t = 24 km ÷ 18 km/h = 1 h 20 min
                      t= 1h 20 min x 2 = 2 h 40 m
                      So, he will finish at 10. 40 am

                      Hi blessedami,
                      Please see your answer marked in red by me.I think there is a calcualtion error.Accordingly,
                      Total time taken = 1h 30 min + 1 h 12 mins = 2h 42 min
                      He will finfish at 10.42 am.

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                      • S Offline
                        super star
                        last edited by

                        thank you verymuch 😄

                        livewith_vanilla:
                        Adrian and bob started driving at the same time. bob took 6hrs to complete his journey while adrian took 9hrs to complete his.After 3 hrs ,the 2 men were left with the same distance to complete.what is the ratio of the distance of bob's journey to the distance of adrian's journey.?



                        -

                        Bob will complete 1/6 of his journey in one hour
                        Adrian will complete 1/9 of his journey in one hour

                        Three hours:

                        Bob will complete 3/6 of his journey
                        Adrian will complete 3/9 of his journey

                        That leaves Bob with 3/6 of his journey to complete and Adrian with 6/9 of his journey.

                        3/6B=6/9A
                        1/2B=2/3A

                        Bob->4u
                        Adrian->3u

                        B:A
                        4:3

                        Not sure if correct

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