Question 51

It took Ramya 15 minutes more than the usual time to travel the distance from her home to office today. If her speed today was 2/3rd of her usual speed, what is the usual time it takes for her to travel the same distance?

Solution

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Let usual speed be $$3x$$ m/min and speed today = $$2x$$ m/min

Let usual time taken be $$t$$ minutes, and time taken today = $$(t+15)$$ minutes

Since, speed is inversely proportional to time, => $$\frac{3x}{2x}=\frac{t+15}{t}$$

=> $$3t=2t+30$$

=> $$t=30$$ minutes

=> Ans - (D)

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