Select the correct answerRubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/hr she reaches 5 minutes early, Then the distance of the multiplex from her starting point is?Options2 km3 km4 km5 km
Question
Select the correct answerRubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/hr she reaches 5 minutes early, Then the distance of the multiplex from her starting point is?Options2 km3 km4 km5 km
Solution
To solve this problem, we need to use the formula for time, which is distance divided by speed.
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First, we convert the minutes into hours because the speed is given in km/hr. So, 5 minutes late is -5/60 = -1/12 hours and 5 minutes early is 5/60 = 1/12 hours.
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We know that the time taken at 3 km/hr speed is the distance divided by 3, and the time taken at 4 km/hr speed is the distance divided by 4.
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We also know that the time difference between these two speeds is 1/12 - (-1/12) = 1/6 hours.
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So, we can set up the equation as follows: distance/3 - distance/4 = 1/6.
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To solve for distance, we first find a common denominator for the fractions, which is 12. This gives us 4distance - 3distance = 2.
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Simplifying this gives us distance = 2 km.
So, the multiplex is 2 km away from Rubi's starting point. Therefore, the correct answer is 2 km.
Similar Questions
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