Dina and Masha start out on a bike path 10 km long at the same time. When Dina reaches the end of the 10 km, Masha still has 2 km left to bike. If Dina’s biking speed is 5 km/h, find Masha’s biking speed.
dina takes 2 hours
masha went 8 km in that 2 hours
8/2 = 4 km/hour
Masha's biking speed is 4 km/h because 10-2= 8 so she is 8/10 and that reduces to 4/5 which is 4 miles out of the 5 that dina's speed is.
To find Masha's biking speed, we can use the concept of relative speed.
Let's first calculate the time it takes for Dina to complete the 10 km distance. We can use the formula: time = distance/speed.
So, Dina's time = 10 km / 5 km/h = 2 hours.
Now, since Masha still has 2 km left to bike when Dina finishes the 10 km, it means that Masha takes 2 hours longer than Dina to complete the 10 km distance.
Therefore, Masha's time = 2 hours + Dina's time = 2 hours + 2 hours = 4 hours.
Now, we can calculate Masha's biking speed using the formula: speed = distance/time.
Masha's speed = 10 km / 4 hours = 2.5 km/h.
Hence, Masha's biking speed is 2.5 km/h.