I have a math question about a story problem involving seconds and rate of swimming?

Question

Here is my question: Gina can swim fifty yards in twenty-three and a quarter seconds. If she keeps up the same rate, how long will it take her to swim eighty yards?
Any help on solving this would be greatly appreciated!

Answer 1

50 yd = 23∙25 sec. (÷ 50)
1 yd = 0∙465 sec. (x 80)
80 yd = 37∙2 sec.

Answer 2

Divide 23.25 by 50.....this tells you how long Gina takes to swim a yard. Then multiply this by 80....this will tell you how long Gina takes to swim 80 yards. Answer is 37.2 sec.

Answer 3

This is all hinged on the very-important idea of

distance = rate x time

Here, you know that 50 (yds) = rate x 23.25 Solve for the rate by division.

Once you have the rate, then you can use the same equation with 80 yards as your distance, and solve for time (again, with division.)

Good luck ... keep those formulas in mind ! :)

Answer 4

D = R x T
50yards = R x 23.25 secs
R = 50/23.25 =2.15 yards/sec

Now for 70 yards
70 = 2.15 x T
T = 70/2.15 = 32.56 secs
This is the total swimming time for 70 yards
The difference would be the time left to swim from 50 to 70 yards 32.56-23.25 = 9.31 more seconds

Answer 5

Here is my soln :

50 yards take 23.25 seconds. 80 yards will take x seconds.

x = 80/50 x 23.25

= 8/5 x 23.25

= 8 x 4.65

= 37.2

Thus, it will take Gina 37.2 sec. to swim 80yds