To solve the problem using a rational equation, we can assign variables to represent the time it takes each person to complete a one-hour presentation. Let's assign "x" to Khalil's time and "y" to Teddy's time.
Based on the given information, we know that Khalil takes 10 hours to complete a one-hour presentation, so his rate of work would be 1/10 (1 hour completed / 10 hours worked). Similarly, Teddy takes 8 hours to complete a one-hour presentation, so his rate of work would be 1/8 (1 hour completed / 8 hours worked).
When they work together, their rates of work will add up, so we can set up the following equation:
1/x + 1/y = 1/t
Where "t" represents the time it would take them together to complete a one-hour presentation.
Substituting the rates of work, we have:
1/10 + 1/8 = 1/t
To simplify this equation, we need to find a common denominator, which is 40 in this case:
4/40 + 5/40 = 1/t
Combining the fractions:
9/40 = 1/t
To solve for "t", we can cross-multiply:
9t = 40
Dividing both sides by 9:
t = 40/9
Therefore, when Khalil and Teddy work together, it would take them approximately 4.44 hours to complete a one-hour long presentation.
Alone, It Takes Khalil 10 Hours To Complete A One-Hour Long Presentation. It Takes Teddy 8 Hours To Complete A One-Hour Long Presentation. Using A Rational equation, which of the following correctly calculates how long it would take them to complete a one-hour long presentation if they worked together?
1 answer