Question

Dina and Masha started out on a 10 km bike path at the same time. When Dina reached the end of the 10 km, Masha still had 2 km to bike. If Dina's biking speed was 5km/h, find Masha's biking speed

Answer 1

Answer:

4 km/h

Step-by-step explanation:

We are told that Dina and Masha started out on a 10 km bike path at the same time.

Dina's biking speed is 5 km/h.

Let us find taken by Dina to cover 10 kn distance.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken by Dina to cover 10 km}=\frac{10km}{5\frac{km}{hr}}$

$\text{Time taken by Dina to cover 10 km}=\frac{10km}{5}\times \frac{hr}{km}}$

$\text{Time taken by Dina to cover 10 km}=2hr$

Therefore, Dina took 2 hours to complete 10 km.

Since both started at the same time, therefore, Masha also took 2 hours to complete 2 km less than Dina.

Let us find distance covered by Masha.

$\text{Distance covered by Masha}=10\text{ km}-2\text{ km}=8\text{ km}$

Now let us find Masha's biking speed.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Masha's biking speed}=\frac{8\text{ km}}{2\text{ hour}}$

$\text{Masha's biking speed}=4\frac{\text{ km}}{\text{ hour}}$

Therefore, Masha's biking speed is 4 km per hour.