Question

Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump

Answer 1

Answer:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Step-by-step explanation:

Let the time for which Grace jumps the rope = $x$ minutes

Let the time for which Zoe jumps the rope = $y$ minutes

As per question statement:

$x+y=21 ..... (1)$

Number of times Grace jumps in one minute = 66

Number of times Zoe jumps in one minute = 56

Number of times Grace jumps in $x$ minutes = 66

Number of times Zoe jumps in $y$ minutes = 56

As per question statement:

$66x+56y=1266 ...... (2)$

Multiplying equation (1) with 66 and subtracting equation (2) from it:

$10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}$

By equation (1):

$x=21-12=\bold{9\ min}$

Therefore, the answer is:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.