Question 73

Raju travels at $$\frac{3}{4}$$ of his usual speed and reaches his office 24 minutes late than his usual time. If Raju travels at his usual speed, then what will be the time taken by him to reach his office?

Solution

Let usual speed = $$4$$ m/min and usual time taken = $$t$$ minutes

=> Raju's new speed = $$3$$ m/min

Also, speed is inversely proportionally to time, according to ques :

=> $$\frac{3}{4}=\frac{t}{t+24}$$

=> $$3t+72=4t$$

=> $$t=72$$

$$\therefore$$ Usual time taken = 72 minutes

=> Ans - (B)

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