A completes a piece of work in 3 days - which -B- completes it in 5 days and -C- takes 10 days to complete same work -how long will they take to complete the work-if they work together-dfrac-30-17- daysdfrac-40-19- daysdfrac-40-17- daysdfrac-30-19- days

Question

A completes a piece of work in 3 days - which -B- completes it in 5 days and -C- takes 10 days to complete same work -how long will they take to complete the work-if they work together-dfrac-30-17-  daysdfrac-40-19-  daysdfrac-40-17-  daysdfrac-30-19-  days

Toppr Admin · Accepted Answer

A completes work in 3 days-B in 5 days-C in 10 days-Together- their work per day - 13-15-110-1930Therefore- time taken to complete whole work together - 3019- days

if A completes a piece of work in 3 days , which 'B' completes it in 5 days and 'C' takes 10 days to complete same work .how long will they take to complete the work,if they work together?
$\frac{30}{17} d a y s$
$\frac{40}{19} d a y s$
$\frac{40}{17} d a y s$
$\frac{30}{19} d a y s$

A completes work in 3 days.
B in 5 days.
C in 10 days.
Together, their work per day = $\frac{1}{3} + \frac{1}{5} + \frac{1}{10} = \frac{19}{30}$
Therefore, time taken to complete whole work together = $\frac{30}{19} =$ $d a y s$

if A completes a piece of work in 3 days , which 'B' completes it in 5 days and 'C' takes 10 days to complete same work .how long will they take to complete the work,if they work together?3017 days4019 days4017 days3019 days

A completes work in 3 days.B in 5 days.C in 10 days.Together, their work per day = 13+15+110=1930Therefore, time taken to complete whole work together = 3019= days

if A completes a piece of work in 3 days , which 'B' completes it in 5 days and 'C' takes 10 days to complete same work .how long will they take to complete the work,if they work together?
$\frac{30}{17} d a y s$
$\frac{40}{19} d a y s$
$\frac{40}{17} d a y s$
$\frac{30}{19} d a y s$

A completes work in 3 days.
B in 5 days.
C in 10 days.
Together, their work per day = $\frac{1}{3} + \frac{1}{5} + \frac{1}{10} = \frac{19}{30}$
Therefore, time taken to complete whole work together = $\frac{30}{19} =$ $d a y s$