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

Answer: (B)

10km

Answer 2

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)