It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own.
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work out what fraction of the car they can build in 1 hour
for John we let it be 1 / x ( letting the time he takes to build the car = x hours)
for Brian it will be 1/ (x + 15)
when they both work together , it takes 4 hours to build the car therefore they build 1/4 of the car in 1 hour.
so we have the equation
1/x + 1/(x + 150 = 1/4
solve for x and you have x +15 will be the time that brian takes to build car on his own