Question 79

A person travels $$\frac{2}{3}$$ of distance x km with a speed of 4 kmph and the remaining distance with a speed of 5 kmph.If the total time taken for the journey is 56 minutes, then x =

Solution

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Given, Total time = 56 min = $$\frac{56}{60}$$ hr

According to the problem,

$$\frac{\frac{2}{3}x}{4}+\frac{\frac{x}{3}}{5}=\frac{56}{60}$$

$$\frac{2x}{4}+\frac{x}{5}=\frac{56}{20}$$

$$\frac{10x+4x}{20}=\frac{56}{20}$$

$$14x=56$$

$$x=4$$ km

Hence, the correct answer is Option C

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