Question

Ajay spent 1 3/5hours to complete his Mathematics homework. he spent half the amount of time completing his language-arts homework. how much time did he take to complete both subjects in hours?

Answer 1

Given :- Ajay spent 1 3/5hours to complete his Mathematics homework. he spent half the amount of time completing his language-arts homework.

To Find :- how much time did he take to complete both subjects in hours ?

Answer :-

→ Time spent by ajay to complete maths homework = 1(3/5) = (8/5) hours .

and,

→ Time spent by ajay to complete art work = (1/2) hours .

so,

→ Total time taken by ajay = (8/5) + (1/2) = (8*2 + 5*1)/10 = (16 + 5)/10 = (21/10) = 2(1/10) hours. (Ans.)

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Answer 2

SOLUTION

GIVEN

Ajay spent $\displaystyle \sf{1 \frac{3}{5} \: \: hours }$ to complete his Mathematics homework. He spent half the amount of time completing his language-arts homework.

TO DETERMINE

The time Ajay took to complete both subjects

EVALUATION

Here it is given that Ajay spent $\displaystyle \sf{1 \frac{3}{5} \: \: hours }$ to complete his Mathematics homework.

So time spent to complete his Mathematics homework

$\displaystyle \sf{ = 1 \frac{3}{5} \: \: hours }$

$\displaystyle \sf{ = \frac{8}{5} \: \: hours }$

Now Ajay spent half the amount of time completing his language-arts homework.

So the time spent on completing his language-arts homework

$\displaystyle \sf{ = \frac{1}{2} \times \frac{8}{5} \: \: hours }$

$\displaystyle \sf{ = \frac{4}{5} \: \: hours }$

Hence the total time Ajay took to complete both subjects

$\displaystyle \sf{ = \bigg( \frac{8}{5} + \frac{4}{5} \bigg) \: \: hours }$

$\displaystyle \sf{ = \bigg( \frac{8 + 4}{5} \bigg) \: \: hours }$

$\displaystyle \sf{ = \bigg( \frac{12}{5} \bigg) \: \: hours }$

$\displaystyle \sf{ =2.4 \: \: hours }$

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