Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi left to bike. If Dina’s biking speed is 8 mph, find Masha’s biking speed.
Dina took 12/8 = 3/2 hrs
So, if Masha's speed was x
3/2 x = 12-3
x = 6 mi/hr
Well, since Dina reached the end of the 12-mile bike path while Masha still had 3 miles left to bike, we can deduce that Masha is definitely not on the fast track! I mean, talk about taking your sweet time!
Now, let's calculate Masha's biking speed. We know that Dina's biking speed is 8 mph, and she covered the entire 12-mile path. So, we can use the formula speed = distance/time to find Masha's speed.
Dina's time = distance/speed = 12 miles/8 mph = 1.5 hours
Now, let's calculate Masha's time:
Masha's distance = 3 miles
Masha's time = distance/speed = 3 miles/x mph
Since we know that Dina and Masha started at the same time, Masha's time should be the same as Dina's time. So, we can equate the two time values:
1.5 hours = 3 miles/x mph
Now, we can solve for x, which represents Masha's biking speed.
1.5 * x = 3
Dividing both sides by 1.5, we get:
x = 3/1.5
Therefore, Masha's biking speed is 2 mph. So, it seems like Masha is taking things easy, just enjoying the ride and taking her time!
To find Masha's biking speed, we need to calculate the time it took both Dina and Masha to complete the 12 mi bike path.
Dina's biking speed is given as 8 mph. Therefore, she would have taken:
Time taken by Dina = Distance / Speed = 12 mi / 8 mph = 1.5 hours
So, it took Dina 1.5 hours to complete the 12 mi bike path.
Now, we know that when Dina reached the end of the 12 mi, Masha still had 3 mi left to bike. This means that Dina completed the 12 mi in the same time it took Masha to bike 3 mi.
Therefore, Masha's biking speed can be calculated as:
Masha's biking speed = Distance / Time = 3 mi / 1.5 hours = 2 mph
So, Masha's biking speed is 2 mph.
To find Masha's biking speed, we need to use the formula:
Speed = Distance / Time
We know that Dina's biking speed is 8 mph and she reached the end of the 12-mile bike path. Let's calculate the time it took her to complete the 12 miles.
Time = Distance / Speed
Time = 12 miles / 8 mph
Time = 1.5 hours
Since both Dina and Masha started at the same time and Dina took 1.5 hours to complete the 12-mile bike path, we can subtract the time Dina took from the total time it takes for both Dina and Masha to complete the 12-mile bike path.
The remaining time is the time it takes for Masha to complete the remaining 3 miles of the bike path.
Remaining Time = Total Time - Dina's Time
Remaining Time = 1.5 hours - 1.5 hours
Remaining Time = 0 hours
We know that Masha still had 3 miles left to bike, so we can calculate her speed using the remaining distance and the remaining time.
Masha's Speed = Remaining Distance / Remaining Time
Masha's Speed = 3 miles / 0 hours
However, we cannot divide by zero, which means the remaining time is zero. This means that Masha's biking speed is undefined or infinite since she covered the remaining 3 miles in no time.
Therefore, Masha's biking speed is undefined or infinite.