Question

1 have to reach a certain place at a certain time and I find that I shall be 15 min too late, if I walk at 4 km an hour, and 10 min too soon, if I walk at 6 km an hour. How far have I to walk

• A. 25km
• B. 10km
• C. 5km
• D. None of these

Answer 1

The Correct Option is B

Distance \((D)\) = Speed \((S)\) \(\times\)Time \((T)\)
\(D\) \(=4\times(T+\frac{15}{60})\)
\(D\) \(=4T+1\)           …..(i)

\(D\) \(6(T-\frac{10}{60})\)

\(D\) \(=6T-1\)                (ii)
Solving equations (i) and (ii), we get
\(T=1h\)
\(D\) \(=4\times1+1=5km\)
The correct option is (B)