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    Y X X Y: The Learning Lab Ratio, Rate & Speed

    Uploaded by

    22S47 SHAKTHEE SIVAKUMAR
    This document contains 12 math word problems involving ratios, rates, proportions, and conversions between units. The problems cover topics like sharing money between partners based on ratios, solving equations, finding average speeds and travel times, calculating rates of work, and determining how long supplies will last. The goal is to practice solving secondary level ratio, rate, and speed problems.

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    Download as PDF, TXT or read online from Scribd

    Y X X Y: The Learning Lab Ratio, Rate & Speed

    Uploaded by

    22S47 SHAKTHEE SIVAKUMAR
    19 views2 pages
    This document contains 12 math word problems involving ratios, rates, proportions, and conversions between units. The problems cover topics like sharing money between partners based on ratios, solving equations, finding average speeds and travel times, calculating rates of work, and determining how long supplies will last. The goal is to practice solving secondary level ratio, rate, and speed problems.

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    This document contains 12 math word problems involving ratios, rates, proportions, and conversions between units. The problems cover topics like sharing money between partners based on ratios, solving equations, finding average speeds and travel times, calculating rates of work, and determining how long supplies will last. The goal is to practice solving secondary level ratio, rate, and speed problems.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    19 views2 pages

    Y X X Y: The Learning Lab Ratio, Rate & Speed

    Uploaded by

    22S47 SHAKTHEE SIVAKUMAR
    This document contains 12 math word problems involving ratios, rates, proportions, and conversions between units. The problems cover topics like sharing money between partners based on ratios, solving equations, finding average speeds and travel times, calculating rates of work, and determining how long supplies will last. The goal is to practice solving secondary level ratio, rate, and speed problems.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    The Learning Lab

    Name
    Ratio, Rate & Speed
    I.D.
    Secondary 1 Intensive Practice Date

    Tutorial C2 Day Time

    Teacher

    1 $3 640 is shared among three business partners. The ratio of money received by John
    and Peter is 2 : 5 respectively, while the ratio of money received by Peter and Benny is
    3 : 1 . Find
    a the amount received by John.
    b the difference in the amount of money received by Peter and Benny.

    3
    Given that 4 x = 9 y , find the value of   .
    y
    2
    x

    A B C
    3 If : : , find the value of B : C : A .
    6 8 12

    4 Water flows from a tap into a tank at a rate of 32 litres per hour. The tank can hold
    7 200 litres of water.
    3
    a Express the rate of the flow of water in cm per second.
    b Find the number of days taken to fill the tank.
    c The water in the tank is then poured into smaller tanks which can contain
    280 litres of water each. How many smaller tanks can be filled completely? How
    many litres of water is left over?

    5 A car began its journey at 2.25 p.m. and ended its journey at 11.05 p.m. on the same
    day. How long did the journey take?

    6 A van travels from Town A to Town B to Town C to Town D. The distances AB, BC and CD
    are in the ratio 1 : 3 : 4 . The time taken to travel these distances are in the ratio
    10 : 18 : 15 . If the total distance is 240 km and the time taken for the entire journey is
    3
    4 hours, calculate
    10
    a the time taken, in minutes, to travel from Town B to Town C.
    b the distance between Town C and Town D.
    c the average speed for the entire journey. Give your answer correct to one decimal
    place.
    d the ratio of the average speeds for each section of the journey.

    1 No part of this publication may be reproduced without the prior permission of The Learning Lab
    The Learning Lab S1 Intensive Mathematics Practice – Ratio, Rate & Speed Tutorial C2

    7 Johnny travelled from Town A to Town B at an average speed of 80 km/h.


    a Express the speed in m/s.
    b The distance between Town A and Town B is 1 200 km. What time will Johnny
    arrive at Town B, given that he started his journey at 7 p.m.?

    8 A truck travels from City P to City R. The truck left City P at 8 p.m. and travelled at an
    average speed of 56 km/h. At 8.30 p.m., a car left City P and travelled towards City R at
    an average speed of 70 km/h.
    a Find the time the car overtook the truck.
    b When overtaking the truck, the car was 30 km from City R. Find the distance
    between the truck and City R when the car arrived at City R.

    9 There are enough bottles of water to last 86 soldiers for 10 days. If 26 soldiers are
    absent, how much longer will the water last?

    10 10 men are needed to build a road. The road is 100 m long and the job is estimated to
    take 10 days. After working for 5 days at this rate, the men were told that the road was to
    be extended to 120 m. How many more men are needed to complete the job within the
    initial timeframe?

    11 Chef A bakes 50 pies in 24 minutes and Chef B bakes 42 pies in 1.2 hours. Express
    Chef A’s rate of baking pies to that of Chef B’s in the simplest form.

    12 Lucy can sew a dress alone in 10 hours. Julie can sew a dress alone in 16 hours. Julie
    was sewing a dress alone for 4 hours before Lucy joined her. Both women worked
    together until the dress was completed. How much time was taken to sew the dress in
    total?

    2 No part of this publication may be reproduced without the prior permission of The Learning Lab

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