Speed-Distance-Time: Calculate Total Time for 24km Multi-Speed Run
Question
Daniel runs on the field along the following path:
How long does it take Daniel to finish the run?
Video Solution
Step-by-Step Solution
To solve this problem, we'll apply the formula for time to each segment of Daniel's run and sum the results.
Step 1: Calculate the time for the first segment.
The formula for time is t=vd.
For the first segment: d=7km, v=8km/h.
Thus, the time is t1=87≈0.875hours.
Step 2: Calculate the time for the second segment.
For the second segment: d=4km, v=9km/h.
Thus, the time is t2=94≈0.444hours.
Step 3: Calculate the time for the third segment.
For the third segment: d=13km, v=7km/h.
Thus, the time is t3=713≈1.857hours.
Step 4: Sum the times from all segments to get the total time.
Total time T=t1+t2+t3≈0.875+0.444+1.857=3.176hours.
Rounding this to one decimal place provides T≈3.2 hours.
Therefore, the solution to the problem is 3.2hours.