Justina is playing a video game where each round lasts 512of an hour- She has scheduled 154 hours to play the game- How many rounds can Justina play-

Time taken by video game for each round = 512 hr nbsp; Time scheduled by Justina to play the game = 154 hr Number of rounds Justina can play = (Time taken by ...

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Byju's Answer

Standard IV

Mathematics

Multiplication of Mixed Numbers

Justina is pl...

Question

Justina is playing a video game where each round lasts $\frac{5}{12}$ of an hour. She has scheduled $\frac{15}{4}$ hours to play the game. How many rounds can Justina play?

9

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8

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\frac{4}{15}

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\frac{12}{5}

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Solution

The correct option is A $9$
Time taken by video game for each round $= \frac{5}{12} hr$
Time scheduled by Justina to play the game $= \frac{15}{4} hr$
Number of rounds Justina can play = (Time taken by video game for each round) $\div$ (Time scheduled by Justina to play the game)

$\Rightarrow \frac{15}{4} \div \frac{5}{12} = \frac{15}{4} \times \frac{12}{5}$

$\Rightarrow \frac{(15 \times 12)}{(4 \times 5)} = \frac{180}{20} = 9$

Justina can play $9$ rounds.

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Justina is playing a video game where each round lasts 512of an hour. She has scheduled 154 hours to play the game. How many rounds can Justina play?

Justina is playing a video game where each round lasts $\frac{5}{12}$ of an hour. She has scheduled $\frac{15}{4}$ hours to play the game. How many rounds can Justina play?