John ran the 100-m dash with a time of 9.87sec. if this pace could be maintained for an entire 26-mi marathon, what would his time be? (notice that 1 m ≈ 3.281 ft and 1 mi = 5280 ft.)

1 hour

8 min

49 sec

Step-by-step explanation:

we know that

1 m=3.281 ft

1 mi=5,280 ft

Convert 26 mi to ft

26 mi=26*5,280=137,280 ft

Convert 137,280 ft to m

137,280 ft=137,280/3.281=41,840.90 m

using proportion

9.87/100=x/41,840.90

x=41,840.90*(9.87)/100

x=4,129.70 sec

Remember that

1 hour=3,600 sec

1 hour=60 min

1 min=60 sec

4,129.70 sec=4,129.70/3,600= 1.147 h

0.147*60=8.82 min

0.82*60=49 sec

therefore

1 hour

8 min

49 sec

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

8

step-by-step explanation: