6. A and B separately do a work in 10 and 15 days respectively. They worked together for some
days and then A completed the remaining work in 5 days. For how many days had A and
worked together?
Give me the answer first...
Answers
Answer:
3 Days
Step-by-step explanation:
A completes the work in 10 days -> In 1 day he completes 1/10 part of job.
B completes the work in 15 days -> In 1 day he completes 1/15 part of job.
Work done by A & B both in 1 day= 1/10 + 1/15
=(10+15)/(10x15) = 25/150 = 1/6
Let both A & B workd for 'x' days.
Work done by them in x day = x/6
Remaining work = 1-x/6 ………(1)
This remaining work is done by A alone in 5 days.
Hence,
Work done by A in 5 days = Remaining work
5/10 = 1-x/6 …. From (1)
x/6 = 1–1/2
x = 6*1/2
x=3
A & B worked for 3 days.
Answer:
Answer:
3 Days
Step-by-step explanation:
A completes the work in 10 days -> In 1 day he completes 1/10 part of job.
B completes the work in 15 days -> In 1 day he completes 1/15 part of job.
Work done by A & B both in 1 day= 1/10 + 1/15
=(10+15)/(10x15) = 25/150 = 1/6
Let both A & B workd for 'x' days.
Work done by them in x day = x/6
Remaining work = 1-x/6 ………(1)
This remaining work is done by A alone in 5 days.
Hence,
Work done by A in 5 days = Remaining work
5/10 = 1-x/6 …. From (1)
x/6 = 1–1/2
x = 6*1/2