Question

Walking at a speed of 6 kmph, lisa reaches her office 12 minutes late. If she walks at 8 kmph, then she reaches 6 minutes early. How far is her office?

Answer 1

Answer:7.2 km

Step-by-step explanation:

Answer 2

Answer:

Distance to her office is = 7.2 km

Step-by-step explanation:

In the question,

Let the time taken by her to reach the office is = t hrs.

When,

Speed of Lisa = 6 km/hr.

Time taken = $t+\frac{12}{60} =t+\frac{1}{5}$

When,

Speed of Lisa = 8 km/hr.

Time taken = $t-\frac{6}{60}=t-\frac{1}{10}$

Now, as the distance is the same.

So,

$Distance=Speed\times Time$

So,

$6(t+\frac{1}{5} )=8(t-\frac{1}{10} )\\6t+\frac{6}{5}=8t-\frac{8}{10}\\2t=\frac{6}{5}+\frac{4}{5}=2\\t=1\ hr.$

Therefore, the time taken is 1 hour.

So, the distance is given by,

$6(1+\frac{1}{5})=\frac{36}{5}=7.2\ km$