Answer:
They will both do the job in 2.4 or 12/5 or 2 2/5 hours
Explanation:
Tom can do a job in 4 hours while Sam can do the same job in 6 hours. The hours both of them can complete this job together can be calculated below.
Tom can do the job in 4 hours . In 1 hours he will be able to do 1/4 of the job.
Sam can do the job in 6 hours . In 1 hours he will be able to do 1/6 of the job.
Let
the combine time = a hrs
Since both of them can do the job in a hours. In 1 hour they will be able to do 1/a of the job.
Therefore,
1/4 + 1/6 = 1/a
(6 + 4)/24 = 1/a
10/24 = 1/a
cross multiply
10a = 24
divide both sides by 10
a = 24/10
a = 2.4 or 12/5 or 2 2/5 hours
They will both do the job in 2.4 or 12/5 or 2 2/5 hours