Question

Lily finished a task in 3/4 hour .Ella finished it in 4/5 of time Lily took.How long did Ella take to finish the task?

Answer 1

Time taken by Ella is 0.6 hour

Solution:

Lily finished a task in $\frac{3}{4}$ hour

Ella finished it in $\frac{4}{5}$ of time Lily took

To find: time taken by Ella to finish the task

Let "L" be the time taken by Lily

Time taken by Lily = L = $\frac{3}{4} \text{ hour }$

From given statement,

Time taken by Ella to finish the task is $\frac{4}{5}$ of time Lily took

Therefore,

Time taken by Ella = $\frac{4}{5}$ of time taken by Lily

$\text{ Time taken by Ella } = \frac{4}{5} \text{ of } \frac{3}{4}\\\\\text{ Time taken by Ella } = \frac{4}{5} \times \frac{3}{4}\\\\\text{ Time taken by Ella } = \frac{3}{5}\\\\\text{ Time taken by Ella } = 0.6$

Thus time taken by Ella is 0.6 hour