CAT 2023 Slot 1 QA Question 16: The amount of job that Amal, Sunil and Kamal can individually do in a day are in harmonic progression. Kamal takes twice as much time as Amal to do the same amount of job. If Amal and Sunil work for 4

Question

The amount of job that Amal, Sunil and Kamal can individually do in a day are in harmonic progression. Kamal takes twice as much time as Amal to do the same amount of job. If Amal and Sunil work for 4

Accepted Answer

Let the daily work rates of Amal, Sunil and Kamal be A, S and K respectively.

Since Kamal takes twice as much time as Amal, Kamal’s rate is half of Amal’s rate.
$K = \dfrac{A}{2}$

Since the rates are in harmonic progression, their reciprocals are in arithmetic progression.
$\dfrac{2}{S} = \dfrac{1