Question

Rob spent 25\%25% more time on his research project than he had planned. He spent an extra hh hours on the project.

Answer 1

Answer:

5h and (h/0.25)1.25

Step-by-step explanation:

This means he planned to spend \dfrac{\maroonD{h}}{\greenD{25\%}}\cdot100\%  

25%

h

​  ⋅100%start fraction, start color maroonD, h, end color maroonD, divided by, start color greenD, 25, percent, end color greenD, end fraction, dot, 100, percent hours on the research project.

Hint #33 / 6

Because 25\%25%25, percent means 252525 per hundred, we can write it in equivalent forms.

\begin{aligned} 25\%&=\dfrac{25}{100}\\\\ &=0.25 \end{aligned}  

25%

​    

=  

100

25

​  

=0.25

​

Answer 2

Answer: 5h represents the number of hours Rob actually spent on the project.

Step-by-step explanation:

Let Rob planned that he will spend x hours in his project.

According to the question,

He spent 25% more time on his project than he planned.

That is,  his actual time = x + 25% of x = 125% of x

Again according to the question,

He spent an extra h hours on his project.

That is,  25% of x = h

$\frac{25\times x}{100} = h$

$x=\frac{100h}{25}$

x = 4h

Thus,  his actual time = 125% of x = 125% of 4h = $\frac{125\times 4h}{100}$ = 5h

Which is the required expression.