adam drives 15km/hr faster than david ,adam can drive 100km in same amount of time that david drives 80km .find adams driving speed
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To find Adam's driving speed, let's set up a system of equations based on the given information:
Let's assume David's driving speed is "x" km/hr.
According to the first sentence, Adam drives 15 km/hr faster than David, so Adam's driving speed is "(x + 15)" km/hr.
Now, we know that Adam can drive 100 km in the same amount of time that David drives 80 km. We can use the formula:
time = distance / speed
Let's calculate the time it takes for Adam and David to travel their respective distances:
For Adam:
time = 100 km / (x + 15) km/hr
For David:
time = 80 km / x km/hr
Since both Adam and David take the same amount of time, we can set up an equation:
100 / (x + 15) = 80 / x
To find x, we can cross-multiply:
100x = 80(x + 15)
100x = 80x + 1200
20x = 1200
x = 1200 / 20
x = 60
Therefore, David's driving speed is 60 km/hr.
To find Adam's driving speed, we can substitute the value of x into the expression "(x + 15)":
Adam's driving speed = 60 + 15
Adam's driving speed = 75 km/hr
So, Adam's driving speed is 75 km/hr.
david's speed --- x km/h
adam's speed ---- x+15 km/h
80/x = 100/(x+15)
carry on