Question

Alok worked on a set of mathematics problems for 20 minutes and finished 4 15 of it. He then called Asha. Working together, they finished the complete set in 22 minutes. How long would Alok and Asha have taken to finish the set individually?​

Answer 1

Alok would take 75 minutes to finish the set individually, while Alok and Asha would take 150 minutes and 75 minutes, respectively.

Step-by-step explanation:

Let's first find out how much of the set Alok finished on his own.

If Alok finished 4/15 of the set in 20 minutes, then we can find out how long it would take him to finish the whole set by multiplying the time by the reciprocal of the fraction completed:

= 20 minutes * 15/4

= 75 minutes.

So, Alok would take 75 minutes to finish the set individually.

Now, let's find out how long it took Alok and Asha to finish the set together.

If they finished the complete set in 22 minutes, then their combined work rate is:

1/75 + 1/x = 1/22 (where x is the time it would take Asha to finish the set individually)

Solving this equation, we get x = 150 minutes.

Therefore, it would take Alok and Asha 150 minutes and 75 minutes to finish the set individually, respectively.