P, q, and r can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if p does the work and he is assisted by q and r on every third day?
Answers
Hey Dear,
◆ Answer -
15 days
◆ Explaination -
Let x be no of days P works. As Q & R come on every 3rd day, they will work for x/3 days.
P, Q and R can do 1/20th, 1/30th and 1/60th part of work in one day.
For completion of work,
x × p + x/3 × q+ x/3 × r = 1
x × 1/20 + x/3 × 1/30 + x/3 × 1/60 = 1
x/20 + x/90 + x/180 = 1
x/15 = 1
x = 15 days
Therefore, 15 days are required to complete the work.
Thanks dear...
Answer: 15 Days
Step-by-step explanation:
Amount of work P can do in 1 day = 1/20
Amount of work Q can do in 1 day = 1/30
Amount of work R can do in 1 day = 1/60
P is working alone and every third day Q and R is helping him
Work completed in every 3 days =
(P+P+(P+Q+R)= 1/20+ 1/20 + (1/20 + 1/30 + 1/60) = 1/5
1/5 th work completed for 3 days ..
for 1 day (3days of work/ 3)===> (1/5 * 1/3)= 1/15
total days is = 15days.