Elizabeth competed in a race and found that her times for the swimming, cycling and running legs were in the ratio 3:1:2
If the quickest leg took 10 minutes, how many minutes did she take to complete the whole race?

30 mins

Step-by-step explanation:

let time for cycling be a

-> time swimming = 3*a

-> time running legs = 2*a = 10 mins -> a = 5mins

Whole time = 3*a+a+2*a = 6*a = 6*5 = 30 mins

60 mins

Step-by-step explanation:

Let the total time spent in all activities be X

So (1 divided by the total ratio ) of the total time = 10 [ because the least ratio has the shortest lap]

So total ratio = 3+1 +2=6

Therefore time spent on cycling is

1/6 * X = 10mins

X = 10 * 6 mins = 60 mins

Total time for all activities = 60mins

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions