Shyam travels 360 km at $x + 4$ km/h, completing the journey in 15 hours. If he increased his speed by $\frac{x+4}{4}$, his trip time would decrease by $y$ hours. If Shyam were to travel at a speed of $x-y$ km/h, how many hours would it take him to cover 187 km?

Question

Accepted Answer

11 hr. From 360 km in 15 hours, the speed is 24 km/h, so $x+4=24$ and $x=20$. Increasing speed by $\frac{24}{4}=6$ makes the speed 30 km/h, so time becomes 12 hours and $y=3$. Thus $x-y=17$, and time for 187 km is $187/17=11$ hours.

Shyam travels 360 km at \(x + 4\) km/h, completing the journey in 15 hours. If he increased his speed by \(\frac{x+4}{4}\), his trip time would decrease by \(y\) hours. If Shyam were to travel at a speed of \(x-y\) km/h, how many hours would it take him to cover 187 km?

Solution

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