Pregunta
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Shaut can do 27 push-ups per minute. Each week he improves his
performance by 3 push-ups per minute. Mpho can do 20 push-ups per
minute and he increases his performance by 4 push-ups per minute each
week. How many push-ups will they each do per minute in the fitness
(a) Hownetion which in in 10 weeks’ time?
(b) After how many weeks will their number of push-ups per minute be
© the same?
(chile training for the competition, Shaun spent 45 minutes doing
push-ups per week. How many push-ups does he do altogether in
the 10 weeks?

Ask by King Allan. in South Africa
Jan 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

  • After 10 weeks:
    • Shaut does 57 push-ups per minute.
    • Mpho does 60 push-ups per minute.
  • Same push-up rate after 7 weeks.
  • Total push-ups in 10 weeks: 19,575 push-ups.

Solución

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Respondido por UpStudy AI y revisado por un tutor profesional

The Deep Dive

In 10 weeks, Shaut will have improved his performance significantly. Starting with 27 push-ups per minute and adding 3 more each week, he’ll be doing 27 + (3 * 10) = 57 push-ups per minute. Meanwhile, Mpho starts at 20 push-ups and increases by 4 each week, so he’ll reach 20 + (4 * 10) = 60 push-ups per minute.
To find out when their push-up rates will be the same, let’s set up an equation. Shaut’s performance after ‘x’ weeks is given by 27 + 3x, and Mpho’s is 20 + 4x. Setting those equal to each other:
27 + 3x = 20 + 4x.
Simplifying gives us x = 7 weeks. So, in 7 weeks, they will both be able to do the same number of push-ups per minute!
As for Shaun’s total push-ups over 10 weeks, if he does 57 push-ups per minute and trains for 45 minutes each week, the calculation is:
57 * 45 * 10 = 25,650 push-ups in total. That’s a lot of strength training!

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