Jake can wash a car in 25 minutes, while Harold can wash the same car in 30 minutes. How long will it take them to wash the car if they work together?
A) $ \frac { 150 } { 11 }$ minutes
B) 5 minutes
C) 20 minutes
D) $\frac { 11 } { 150 }$ minutes
E) 25 minutes

Question

Jake can wash a car in 25 minutes, while Harold can wash the same car in 30 minutes. How long will it take them to wash the car if they work together? 
A) $ \frac { 150 } { 11 }$ minutes
B) 5 minutes
C) 20 minutes
D) $\frac { 11 } { 150 }$ minutes
E) 25 minutes

Quizplus · Accepted Answer

Let x be the time it takes for Jake and Harold to wash the car together. Then, their combined rate of work is $\frac{1}{25}+\frac{1}{30}=\frac{11}{150}$ cars per minute. Using the formula $rate \cdot time = work$, we have $x\cdot \frac{11}{150} = 1$. Solving for x, we get $x = \frac{150}{11}$ minutes. Therefore, the answer is A.

Jake Can Wash a Car in 25 Minutes, While Harold 15011 \frac { 150 } { 11 }11150​

Jake Can Wash a Car in 25 Minutes, While Harold $\frac { 150 } { 11 }$