Question

Rahul completed his studies in 3 hours. He spent 3/4 hours doing math homework,1/2/3 hoir doing a science project and the rest of the time doing test preparations. How much time did he spend doing his math homework and the science homework and the science project? how much time did he spent for his test preparation​

Answer 1

Correct Question

Rahul completed his studies in 3 hours. He spent ¾ hours doing math homework, $\sf \dfrac{\dfrac{1}{2}}{3}$ hour doing a science project and the rest of the time doing test preparations. How much time did he spend doing his math homework and the science homework? How much time did he spent for his test preparation?

Answer

Given :

Total time took to study : 3 hours

Time spent for maths : ¾ hours

Time spent for science : 1⅔ hours

Rest of the time is spent for test preparation.

To find :

The time spent for maths, science and test preparations.

Solution :

First, we should find the time spent for doing maths homework.

Time spent for maths :

$\sf \dashrightarrow \dfrac{3}{4} \: of \: 3 hours$

$\sf \dashrightarrow \dfrac{3}{4} \times 180$

$\sf \dashrightarrow \dfrac{3 \times 180}{4}$

$\sf \dashrightarrow \dfrac{540}{4}$

$\sf \dashrightarrow 135 minutes$

We should convert the obtained answer to hours.

$\sf \dashrightarrow 135 \: minutes = 2 \: hours \: 15 \: minutes$

Time spent for science :

$\sf \dashrightarrow \dfrac{\dfrac{1}{2}}{3} \: of \: 3 hours$

$\sf \dashrightarrow \dfrac{1}{2} \times \dfrac{1}{3} \times 180$

$\sf \dashrightarrow \dfrac{1}{6} \times 180$

$\sf \dashrightarrow \dfrac{180}{6}$

$\sf \dashrightarrow 30 minutes$

We should convert the obtained answer to hours.

$\sf \dashrightarrow 30 \: minutes = \dfrac{1}{2} \: hours$

Now, we can find the time spent for test preparation.

Time spent for test preparation :

$\sf \dashrightarrow 180 - (135 + 30)$

$\sf \dashrightarrow 180 - 165$

$\sf \dashrightarrow 15 \: minutes$

$\sf \dashrightarrow 15 \: minutes = \dfrac{1}{4} \: hours$

Hence, he spent 2 hours 15 minutes for maths homework, 30 minutes for science homework and 15 minutes for test preparation.

Answer 2

Answer:

Step-by-step explanation: