John can complete a given task in 20 days.

John can complete a given task in 20 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 4 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?

Quiz

Answer/Solution

10

Steps/Work

John 6*20=120
Jane 10*12=120
In 4 days working alone John did: 4 Days * Rate = 4*6=24, so working together they did 120-24=96 --> Rate(A+B)*t=96 -> 16*t=96, t=6. hence the answer is B (John worked 4 days + 6 days they worked together = 10 days)

Physics Calculator / Auto Solver

John can complete a given task in days. Jane will take only days to complete the same task. John and jane set out to complete the task by beginning to work together. However, jane was indisposed days before the work got over. In how many days did the work get over from the time john and jane started to work on it together?

Calculated Answer

10

Step by Step Solution

In order to solve problem, you must evaluate n2 + (n0 * n1 - n1 * n2) / (n0 + n1).

n0 =20
n1 =12
n2 =4