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  • If Ram walks from his house at 5 km/h, he reaches school 5 min early, and if he walks at 4 km/h he reaches 5 min late. What is the actual distance between Ram's house and his school?

If Ram walks from his house at 5 km/h, he reaches school 5 min early, and if he walks at 4 km/h he reaches 5 min late. What is the actual distance between Ram's house and his school?

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\\\text{Let the distance to school be x km } \\ \text{Time required at 5 km/h } = x / 5 \ hr = 60 x / 5$ minutes$ = 12 x \ \mathrm{min}$ \\ Time require at $4 \ km/h=x / 4 \ hr = 60 x / 4$ minute$=15 x$ min \\ As per question\\ $12 x+5=15 x-5$ \\ 3x = 10 \\ \Rightarrow x=3.33 \ \mathrm { km} \text{The distance of school from Ram's house is $3.33 \ \mathrm{km}$ }

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