Math

QuestionJodie spent 301430 \frac{1}{4} seconds climbing and 11.78 seconds on ropes. How much time is left to reach 73.4 seconds?

Studdy Solution

STEP 1

Assumptions1. Jodie's total time to match is73.4 seconds. She has already spent 301430 \frac{1}{4} seconds on wall climbing3. She has also spent11.78 seconds on the ropes4. The time spent on wall climbing and the ropes is subtracted from the total time to find the remaining time

STEP 2

First, we need to convert the mixed number 301430 \frac{1}{4} to a decimal. We do this by dividing the numerator by the denominator and adding the result to the whole number.
3014=30+1430 \frac{1}{4} =30 + \frac{1}{4}

STEP 3

Now, divide the numerator by the denominator.
1=0.25\frac{1}{} =0.25

STEP 4

Add the result to the whole number.
3014=30+0.25=30.2530 \frac{1}{4} =30 +0.25 =30.25

STEP 5

Now that we have the decimal equivalent of the time spent on wall climbing, we can add this to the time spent on the ropes to find the total time spent so far.
Totaltimespent=Timeonwallclimbing+TimeonropesTotal\, time\, spent = Time\, on\, wall\, climbing + Time\, on\, ropes

STEP 6

Plug in the values for the time on wall climbing and the time on the ropes to calculate the total time spent.
Totaltimespent=30.25seconds+11.78secondsTotal\, time\, spent =30.25\, seconds +11.78\, seconds

STEP 7

Calculate the total time spent so far.
Totaltimespent=30.25seconds+11.78seconds=42.03secondsTotal\, time\, spent =30.25\, seconds +11.78\, seconds =42.03\, seconds

STEP 8

Now that we have the total time spent so far, we can subtract this from the total time to match to find the remaining time.
Remainingtime=TotaltimetomatchTotaltimespentRemaining\, time = Total\, time\, to\, match - Total\, time\, spent

STEP 9

Plug in the values for the total time to match and the total time spent to calculate the remaining time.
Remainingtime=73.4seconds42.03secondsRemaining\, time =73.4\, seconds -42.03\, seconds

STEP 10

Calculate the remaining time.
Remainingtime=73.4seconds42.03seconds=31.37secondsRemaining\, time =73.4\, seconds -42.03\, seconds =31.37\, secondsJodie has31.37 seconds left to match the record.

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