Question

Please help me with this word problem quickly, work is needed thank you!

Answer 1

Given:

Sheila can wash her car in 15 minutes. Bob takes time twice as long to wash the same car.

Required:

Find the time they take both together.

Step-by-step explanation:

Sheila can wash her car in 15 minutes.

Work done by sheila in a minute =

`(1)/(15)\text{ }`

Bob takes time twice as long to wash the same car. He washes the car in 30 minutes.

Work done by Bob in a minute

`=(1)/(30)`

If they work together let them take time x per minute.

`(1)/(15)+(1)/(30)=(1)/(x)`

Solve by taking L.C. M.

`\begin{gathered} (2+1)/(30)=(1)/(x) \\ (3)/(30)=(1)/(x) \\ (1)/(10)=(1)/(x) \\ x=10\text{ minutes.} \end{gathered}`

If they work together they will take 10 minutes.

Final Answer:

Sheila and Bob wash the car together in 10 minutes.