# Using Formulas To Solve Problems

The total work is 24 units, which Rita can finish the work of her own in 24/1 = 24 hours. In 10 days B will do 10 × 1/40 = 1/4th of the work.Remaining work 1 - ¼ = ¾ (Which A and B have done together). Their one-day’s work is 1/60 1/40 = (2 3)/120 = 5/120 = 1/24. They would have done three-fourth of the work in 24 × 3/4 = 18 days. Or As discussed earlier in time work questions, time and work tricks like the unit approach can also be applied.

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Example 1 – Walter and Helen are asked to paint a house.

Walter can paint the house by himself in 12 hours and Helen can paint the house by herself in 16 hours.

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 4 – One roofer can put a new roof on a house three times faster than another. How long would it take the faster roofer working alone?

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 5 – Triplets, Justin, Jason, and Jacob are working on a school project.

Let me draw a triangle just so we know what b and h are. So the formula is area is equal to 1/2 base times height. We essentially want to isolate the h on one side of the equation. So let's get rid of everything else on the right-hand side. So the best way to get rid of a 1/2 that's being multiplied by h is if we multiply both sides of the equation by its reciprocal.

## Using Formulas To Solve Problems Frida Kahlo Self Portrait With Thorn Necklace And Hummingbird Essay

So we can do it-- well, I'll do it one step at a time. If we multiply both sides of the equation by 2/1 or by 2. So let's multiply-- remember anything you do to one side of the equation, you also have to do to the other side of the equation. Well, the whole point behind multiplying by 2 is 2 times 1/2 is 1. If someone just gave you a bunch of areas and a bunch of base lengths, and they said keep giving me the height for those values, or for those triangles.

That means working alone B would have done 3 × 10 = 30 units.

The remaining 120 – 30 = 90 units of work has been done by them together.

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 3 – One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.

How long would it take to fill the pool if both pipes were accidentally left open?