Set up an equation and solve the following problem.
kent drives 230 miles in the same time that it takes dave to drive 210 miles. if kent averages 4 miles per hour faster than dave, find their rates.
dave mph
kent mph

The speed of Dave is 42 miles per hour

The speed of Kent is 46 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by Dave = d = 210 miles

The time taken by Dave = t hour

The speed of Dave = s miph

Again

The distance cover by Kent = D = 230 miles

The time taken by Kent = T hour

The speed of Kent = S = (s + 4 ) miph

For Dave

Time =

So, t =

Or, t =

For Kent

Time =

So, T =

Or, T =

∵ Time taken by both is same

So, t = T

Or,   =

Or, 210 × (s + 4) = 230 × s

Or, 210 × s + 210 × 4 = 230 × s

Or, 210 × 4 = 230 × s -210 × s

Or, 210 × 4 = 20 × s

∴  s =

i.e s = 42 miph

So, The speed of Dave = s = 42 miles per hour

Again

The speed of Kent = S = (s + 4 ) miph

i.e S = 42 + 4

or, S = 46 miph

So, The speed of Kent = S = 46 miles per hour

Hence,The speed of Dave is 42 miles per hour

And The speed of Kent is 46 miles per hour . Answer

they will manufacture 8496 cars

47 - 90 = 43

43 - 180 = x

x = 137