A swimming pool is open for $\frac{15}{2}$ hours during the day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is $\frac{3}{2}$ hours long. How many shifts are there per day?

\frac{5}{2}

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5

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7

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\frac{1}{2}

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Solution

The correct option is B $5$
Number of shifts = Total number of hours pool is open $\div$ The duration of each shift

$\Rightarrow$ Number of shifts $= (\frac{15}{2}) \div (\frac{3}{2})$

$= \frac{15}{2} \times \frac{2}{3}$

$= \frac{30}{6}$ shifts

$\Rightarrow$ Number of shifts $= 5$
So, there are $5$ shifts per day.

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A swimming pool is open for 152 ​ hours during the day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is 32 hours long. How many shifts are there per day?

The correct option is B 5Number of shifts = Total number of hours pool is open ÷ The duration of each shift ⇒ Number of shifts =(152)÷(32) =152×23 =306 shifts ⇒ Number of shifts =5 So, there are 5 shifts per day.

A swimming pool is open for $\frac{15}{2}$ hours during the day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is $\frac{3}{2}$ hours long. How many shifts are there per day?