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A man travels 30 km in 30 minutes. Calculate his speed in km/h and m/s. Also solve these simultaneous equations: 2a+b=8 and 3a−b=7
Mathematics
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2 partsStep-by-step solution
10 steps28)
Part a· 3 steps
Identify the given distance and time.
Distance () =
Time () =Convert the time to hours.
Since there are in an hour,
Calculate the speed in kilometers per hour.
Speed () is calculated as .
His speed in kilometers per hour is .
Part b
Convert the speed from kilometers per hour to meters per second.
We know that and .
Perform the multiplication and division.
Rounding to two decimal places, the speed is .
29)
Write down the given simultaneous equations.
Equation (1):
Equation (2):Use the elimination method.
Add Equation (1) and Equation (2) to eliminate .
Solve for .
Substitute the value of into either Equation (1) or Equation (2) to solve for .
Using Equation (1):
Solve for .
The solution is .
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