48,255 views
28 votes
28 votes
This is a Rate Time Distance ProblemJohn ran the 100-m dash with a time of 9.95 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be? His time would be ______ hr _______ min. ________ sec.

User Sohel Khalifa
by
2.4k points

1 Answer

19 votes
19 votes

Recall,

Speed = distance/ time

From the information given, John ran the 100-m dash with a time of 9.95 sec. This means that his speed is

100/9.95 = 10.05 m/s

If this speed is maintained, it means that the speed at which he ran 26 miles is

also 10.05 m/s

We would convert 26 miles to meters. Recall

1 mile = 1609.344 meters

26 miles = 26 x 1609.344 = 41842.944 meters

Time = distance/ speed

Thus, time taken to run 26 mile is

41842.944/10.05

= 4163.48 seconds

we would convert 4163.48 seconds to hours, minutes and seconds.

Recall, 1 hour = 3600 seconds. Thus

4163.48/3600 = 1.1565 hours.

We would convert 0.1565 hours to minutes. We have

1 hour = 60 minutes

0.16 hour = 0.1565 x 60 = 9.39 minutes

We would convert 0.39 minutes to seconds

1 minute = 60 seconds

0.6 minutes = 0.39x 60 = 23 seconds

Thus,

His time would be 1 hr 9 min, 23 sec

User Yuvanesh
by
2.4k points