Calculate the Distance

Using the initial speed of $10 \text{ km/h}$ and the time taken of $2 \text{ hrs}$, we find the total distance to the destination.

$\text{Distance} = 10 \times 2 = 20 \text{ km}$

Calculate the New Speed

The person increases their speed by $5 \text{ km/h}$, making the new speed:

$\text{New} \text{ Speed} = 10 + 5 = 15 \text{ km/h}$

Calculate the New Time

Using the constant distance of $20 \text{ km}$ and the new speed, the time taken is calculated as:

$\text{New} \text{ Time} = \frac{20}{15} = \frac{4}{3} \text{ hours}$

Convert Time to Minutes

Converting $\frac{4}{3} \text{ hours}$ into minutes:

$\text{Time} = \frac{4}{3} \times 60 = 80 \text{ minutes}$

Calculate Time Saved

The initial time was $2 \text{ hours}$ ($120 \text{ minutes}$). The time saved is:

$\text{Time} \text{ Saved} = 120 \text{ min} - 80 \text{ min} = 40 \text{ min}$