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  • FIRST POST
    • onejontwo
    • By onejontwo 14th Sep 18, 6:08 PM
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    onejontwo
    Maths question.
    • #1
    • 14th Sep 18, 6:08 PM
    Maths question. 14th Sep 18 at 6:08 PM
    Probably wrong thread, but I've been racking my brains over this simple maths question:- If a person travels 35 km in 1 hour 10 mins. what is her average speed?

    If you give me the answer please tell me how you arrived at the answer.
Page 1
    • arciere
    • By arciere 14th Sep 18, 6:17 PM
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    arciere
    • #2
    • 14th Sep 18, 6:17 PM
    • #2
    • 14th Sep 18, 6:17 PM
    He travels 35km/1.167h, that makes it 29.99km/h
    • onejontwo
    • By onejontwo 14th Sep 18, 6:19 PM
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    onejontwo
    • #3
    • 14th Sep 18, 6:19 PM
    • #3
    • 14th Sep 18, 6:19 PM
    He travels 35km/1.167h, that makes it 29.99km/h
    Originally posted by arciere
    Please explain.
    • arciere
    • By arciere 14th Sep 18, 6:25 PM
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    arciere
    • #4
    • 14th Sep 18, 6:25 PM
    • #4
    • 14th Sep 18, 6:25 PM
    10 minutes equal to approx 0.167 hours (1h divided by 60 times 10). Add that to the 1 hour, you get 1.167h. So the person travelled 35km/1.167h.
    If you need km/h, you just divide 35 by 1.167.

    Unless I got it wrong.
    • onejontwo
    • By onejontwo 14th Sep 18, 6:37 PM
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    • #5
    • 14th Sep 18, 6:37 PM
    • #5
    • 14th Sep 18, 6:37 PM
    10 minutes equal to approx 0.167 hours (1h divided by 60 times 10). Add that to the 1 hour, you get 1.167h. So the person travelled 35km/1.167h.
    If you need km/h, you just divide 35 by 1.167.

    Unless I got it wrong.
    Originally posted by arciere
    Is there no simpler way as this is taken from a maths paper for 10-11 year olds.
    • stragglebod
    • By stragglebod 14th Sep 18, 6:42 PM
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    • #6
    • 14th Sep 18, 6:42 PM
    • #6
    • 14th Sep 18, 6:42 PM
    She travels 30km.


    Lots of different ways to think about it. I'd say the easiest is to split the hour and ten minutes into 7 chunks of time, each 10 minutes long.


    If it takes her 7 chunks to travel 35km then in each chunk she travels 5km. Because 35/7=5.


    So if every ten minutes she travels 5km, and an hour is 6 chunks of 10 minutes, in an hour she travels 5km x 6 = 30km.
    Last edited by stragglebod; 14-09-2018 at 10:47 PM.
    • John Gray
    • By John Gray 14th Sep 18, 6:44 PM
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    • #7
    • 14th Sep 18, 6:44 PM
    • #7
    • 14th Sep 18, 6:44 PM
    How about saying that 1 hr 10 mins is 70 mins,
    speed = distance / time = 35 /70 = 0.5 km/min = 30 km/hr?
    • silvercar
    • By silvercar 14th Sep 18, 6:46 PM
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    • #8
    • 14th Sep 18, 6:46 PM
    • #8
    • 14th Sep 18, 6:46 PM
    Your basic equation is:

    Speed = distance / time

    (where / means divided by)

    So to have an answer in km/h = kilometers per hour we need the distance to be in km and the time in hours.

    The distance is already in km. We need to convert 1 hr 10 minutes to hours. 60 minutes in an hour. 1 hr 10 mins is 70 mins so 1 hr 10 mins is 70/60 in hours.

    So your answer is speed = 35 / (70/60)

    Do the 70/60 first - that equals 1.16777

    Now you have 35 / 1.16777 = 29.999 rounding to 30 km/hr.

    ----

    If you want it all as fractions and working out without a calculator:

    35/ (70/60) = (35 x 60) / 70. then you would divide the 35 and 70 both by 35 to leave you with (1 x 60) /2 = 30. But I'm not sure that age group have covered the first part of that.
    • jackieblack
    • By jackieblack 14th Sep 18, 6:50 PM
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    jackieblack
    • #9
    • 14th Sep 18, 6:50 PM
    • #9
    • 14th Sep 18, 6:50 PM
    How about saying that 1 hr 10 mins is 70 mins,
    speed = distance / time = 35 /70 = 0.5 km/min = 30 km/hr?
    Originally posted by John Gray
    This is more or less how I did it

    35km/70mins = 0.5 km/min
    Then x 60 = 30 km/hr

    I'm pretty sure that's the way 10 year olds would be expected to work it out too
    Last edited by jackieblack; 14-09-2018 at 6:57 PM.
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    • Chino
    • By Chino 14th Sep 18, 6:52 PM
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    Chino
    Do the 70/60 first
    Originally posted by silvercar
    Why would you do that when you know that this will lead to a recurring decimal in the answer?
    • arciere
    • By arciere 14th Sep 18, 6:55 PM
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    arciere
    She travels 30km.
    Originally posted by stragglebod
    Apologies, Italian here.
    • arciere
    • By arciere 14th Sep 18, 6:56 PM
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    arciere
    Why would you do that when you know that this will lead to a recurring decimal in the answer?
    Originally posted by Chino
    I did a similar thing because it can apply to different situations (i.e. 1 hour and 13 minutes)
    • jackieblack
    • By jackieblack 14th Sep 18, 6:58 PM
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    jackieblack
    Why would you do that when you know that this will lead to a recurring decimal in the answer?
    Originally posted by Chino
    I agree
    Much simpler to do 35/70 first then multiply by 60, especially if not using a calculator
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    • debitcardmayhem
    • By debitcardmayhem 14th Sep 18, 7:33 PM
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    debitcardmayhem
    10 minutes equal to approx 0.167 hours (1h divided by 60 times 10). Add that to the 1 hour, you get 1.167h. So the person travelled 35km/1.167h.
    If you need km/h, you just divide 35 by 1.167.

    Unless I got it wrong.
    Originally posted by arciere
    Not close enough B-

    1 Hour is 6/7 of 70 minutes thus 35*6/7 = 30 no approximation just pure maths
    • neilmcl
    • By neilmcl 14th Sep 18, 7:46 PM
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    neilmcl
    I agree
    Much simpler to do 35/70 first then multiply by 60, especially if not using a calculator
    Originally posted by jackieblack
    +1, this is how you'd be expecting a 11 year old to be working it out.
    • 18cc
    • By 18cc 14th Sep 18, 8:03 PM
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    18cc
    well it is 35km in 70 mins ie 5km every 10 mins ie 30 km per 60 mins ie 30 km per hour
    • esuhl
    • By esuhl 15th Sep 18, 1:41 AM
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    esuhl
    This is how I'd explain it (if another example helps):

    You want to find the speed, and you know the distance and time, so you can use the formula:

    speed = distance / time

    Using the figures you have:

    speed = 35km / 1h10m

    It's easier to have time in a single unit (rather than a non-decimal combination of hours and minutes). To avoid unnecessary decimal points and fractions, it makes sense to use minutes. So:

    speed = 35km / 70mins

    We want the distance-per-hour, not per-70-minutes. The easiest way to do this is to find the distance-per-minute and then multiply by 60 to get distance-per-hour. So:

    speed = (35/70)km / (70/70)mins

    Simplify the fractions to:

    speed = (1/2)km / 1min

    And multiply by 60:

    speed = 30km / 60min

    Which is:

    speed = 30km/h
    • Cornucopia
    • By Cornucopia 15th Sep 18, 8:19 AM
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    Cornucopia
    If the question doesn't specify the units for showing the speed, then I think I'd probably go with:-

    35 km / 70 mins = 0.5 km/min.
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    • G42
    • By G42 15th Sep 18, 10:23 AM
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    G42
    If a person travels 35 km in 1 hour 10 mins. what is her average speed?

    The question is incomplete. The actual question is - If a person travels 35 km in 1 hour 10 mins what is her average speed in km per hour?

    This can now be simplified into - If a person travels 35 km in 70 minutes how far does she travel in 60 minutes?

    Answer Ė Find out how many km she travels in 1 hour (60 mins). In other words km per hour.

    35 (km) divided by 70 (mins) gives distance travelled in 1 minute
    Multiplied by 60 (mins) gives distance travelled in 60 minutes (1hr)

    Calculation
    = 35 divided by 70 then multiplied by 60
    = 35/7*6
    = 30
    • TheCyclingProgrammer
    • By TheCyclingProgrammer 15th Sep 18, 1:33 PM
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    TheCyclingProgrammer
    Undefined as you donít specify what units you want the answer in, but assuming you want kilometres per hour, the answer is 30 kph. 1 hour and 10 minutes as a fraction is 1 and 1/6 of an hour, or 7/6, so to find out the distance travelled in an hour you need to do 35 * 6/7, Which is 30.

    Alternatively you can consider that they travelled 35 km in 70 minutes, which is 0.5km per minute and go from there.
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