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A Word Problem That Makes You A World Mathematician - Education - Nairaland

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A Word Problem That Makes You A World Mathematician by Tahtah(op): 6:54am On Nov 19, 2016
A cyclist cycles for x hours at 12km/hour and y hours at 18km/hour. Altogether she cycles 78km in 5hours. Find x and y
Re: A Word Problem That Makes You A World Mathematician by extwoo(m): 7:18am On Nov 19, 2016
What is the Cyclist looking for Up and Dan.
Re: A Word Problem That Makes You A World Mathematician by Tahtah(op): 7:20am On Nov 19, 2016
extwoo:
What is the Cyclist looking for Up and Dan.
It is a problem that requires a quick solution
Re: A Word Problem That Makes You A World Mathematician by Nobody: 7:31am On Nov 19, 2016
Tahtah:
A cyclist cycles for x hours at 12km/hour and y hours at 18km/hour. Altogether she cycles 78km in 5hours. Find x and y
Distance Equation: 12x + 18y = 78 km
Time Equation:::: x + y = 5 hours

Multiply thru the Time Equation by 12:
12x + 18y = 78
12x + 12y = 60


Subtract and solve for "y":
6y = 18
y = 3

Solve for "x" using x + y = 5
x + 3 = 5
x=2
Re: A Word Problem That Makes You A World Mathematician by Nobody: 7:43am On Nov 19, 2016
Sugarhugs:
Distance Equation: 12x + 18y = 78 km
Time Equation:::: x + y = 5 hours

Multiply thru the Time Equation by 12:
12x + 18y = 78
12x + 12y = 60


Subtract and solve for "y":
6y = 18
y = 3

Solve for "x" using x + y = 5
x + 3 = 5
x=2
Hmmmm ! i'm surprised.
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