Alex takes $\frac{1}{4}$ hours to walk to the playground and $\frac{1}{2}$ hours to walk from the playground to Shalini's house. How much time does he take to reach Shalini's house?

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Solution

Alex takes $\frac{1}{4}$ hours to walk to the playground and $\frac{1}{2}$ hours to walk from the playground to Shalini's house.

Total time = $\frac{1}{4}$ hour + $\frac{1}{2}$ hour

The denominators are different. LCM of 2 and 4 is 4.
Multiply the numerator and denominator of the fraction $\frac{1}{2}$ by 2. We get $\frac{2}{4}$

So, total = $\frac{1}{4} + \frac{2}{4}$

= $\frac{1 + 2}{4}$

= $\frac{3}{4}$

Therefore, he will take $\frac{3}{4}$ hours to reach Shalini’s house.

Hence, (d) is correct.

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the ans. is 2hrs and 24min. But how to solve it??

A

takes

2

hours more than

B

to walk

d

km. If

A

doubles his speed, then he can make it in

1

hour less than

B .

How much time does

B

require for walking

d

km?

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Alex takes $\frac{1}{4}$ hours to walk to the playground and $\frac{1}{2}$ hours to walk from the playground to Shalini's house. How much time does he take to reach Shalini's house?