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svetlana [45]
3 years ago
10

Kevin, can clean a stadium in 5 hours working alone. Chris, can

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer: It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .

Step-by-step explanation:

Given : Time taken by Kevin to clean a stadium = 5 hours

Rate of work done by Kelvin =\dfrac{1}{5}

Time taken by Chris to clean a stadium  = 3 hours

Rate of work done by Chris =\dfrac{1}{3}

Let t be the time taken by both of them to clean the stadium together.

According to the question , we have

Rate of work done together = Rate of work done by Kelvin+Rate of work done by Chris

\dfrac{1}{t}=\dfrac{1}{5}+\dfrac{1}{3}\\\\ \Rightarrow\ \dfrac{1}{t}=\dfrac{3+5}{15}\\\\ \Rightarrow\ \dfrac{1}{t}=\dfrac{8}{15}\\\\\Rightarrow\ t=\dfrac{15}{8} =1.875

t=1+0.875 hours

t=1\text{ hour }+0.875(60)\text{ minutes}  [∵ 1 hour = 60 minutes]

t=1\text{ hour }+52.5\text{ minutes}= \text{1 hour 52.5 minutes}

Hence, It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .

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