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Naily [24]
3 years ago
11

Following a severe​ snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk. Ken can clear the snow by himself

in 2 ​hours, and Bettina can clear the snow by herself in 5 hours. After Bettina has been working for 1-hour, Ken is able to join her. How much longer will it take them working together to remove the rest of the​ snow?
Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0

Answer:

It will take 5.6 hours

Step-by-step explanation:

If Ken (K) can clear in two hours and bettina (B) in five hours then;

5K=2B; If B=1 K=2/5 = 0.4 (2-0.4=1.6) plus 4 from B are 5.6 or also: If B=4 (Bettina started 1 hour later 5-1=4) K=8/5=1.6 then K+B=1.6+4=5.6 h

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Answer:

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Step-by-step explanation:

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

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Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let t be the time taken to meet

\text{Distance}=\text{Speed}\times\text{Time}

\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}

So, we meet each other after 1.5 hours.

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\dfrac{26}{3}\times 1.5=13\ \text{miles}

Distance traveled by my friend

\dfrac{22}{3}\times 1.5=11\ \text{miles}

So, I traveled farther by 13-11=2\ \text{miles}.

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