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Father is 5 times faster than son. Father completes work in 40days before son.If both of them work together when will work get complete?
Read Solution (Total 16)
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- sol is if son takes 5x days, father wil take x days.thus 4x is the difference in days which is equal to 40.therefore,x=10
and 5x=50
thus the work is done together in 50/6 days
- 12 years agoHelpfull: Yes(89) No(4)
- let takes x days TO COMPLETE THE WORK than father will take x-40
as we know time is inversely propotional to speed so
time=1/speed
fatherstime/sonstime
x-40/x
and given that speed ration btwn father and son is 5:1
so x-40/x=5/1
x-40=5x
4x=40
x=10
so if father and son work together than
1/10+1/50
25/3 days is ans
- 12 years agoHelpfull: Yes(17) No(9)
- 1/x = son
5*(1/x) = father
according to question-->
5/x = 1/(x-40)
on solving x=50
so => 1/x + 5/x
=> 1/50 + 5/50
=> 6/50
means 50/6 days
- 12 years agoHelpfull: Yes(9) No(1)
- 50/6 is answer
if father work 5
then son 1
and if son done in 50 days
father done that work in 1o days
so total ratio is 6 then
work for 50days -> 50/6 - 12 years agoHelpfull: Yes(6) No(2)
- let son work be x...
father be 5x...
there fore father can complete work in 40 days
combine work be x+5x....
no of days when they work combine be y
so eqn.. (5x/x+5x)=(y/40)
5/6 = y/40
ans y=100/3
- 12 years agoHelpfull: Yes(5) No(17)
- answer:8(1/3)
Time taken is inversely proportional for efficiency.
Since the father is 5 times faster than the son, the time taken by the father and son to complete the work will be in the ratio 1:5.
Let the no. of days be x and 5x.
The father takes 40 days less.
5x-x=40
x=10
If both of them work together,
(10*50)/(10+50)
= 500/60
= 8(1/3) day
- 8 years agoHelpfull: Yes(5) No(0)
- let son takes 5x days, father wil take x days.
thus 4x is the difference in days which is equal to 40.
therefore,x=10and 5x=50
thus the work is done together in 25/3 days. - 12 years agoHelpfull: Yes(4) No(2)
- if son done in x days
then father done in x/5 days
as per given information
x/5=40 => x=200
therefore son efficiency is 1/160 per day
and father efficiency is 1/40 per day
together f+s = (1/40)+(1/160)=5/160=1/32
therefore f+s complete in 32 days. - 12 years agoHelpfull: Yes(3) No(19)
- Lets take whole work 1,and son do x unit work per day and father unit work per day ,
so
1/x +1/(5x) =40 days
1=50x (total work)
so 50x/(5x+x) = 8+1/3 [father 5x,son x] - 9 years agoHelpfull: Yes(2) No(0)
- 50/6 is the wrong answer.
25/3 is correct. - 12 years agoHelpfull: Yes(1) No(13)
- father is 5 times faster than son
if son completes 1 part then father completes 5 parts
let son completes the work in x days
father will complete the same work in (x-40) days.
so (x-40)*5 = x * 1
=>5x-200 = x
=>4x = 200;
=>x = 200/4 = 50
if son completes the work in 50 days then the father will complete the same work in 40 days less, that mean in 10 days.
per day father completes 5 parts. total work is 5*10 = 50 parts.
per day son completes 1 part. total work is 5*1 = 5 parts.
hence per day both father and son will complete (5 + 1)parts = 6 parts.
so day required = 50/6 = 8.33333 days = 9days
father - 12 years agoHelpfull: Yes(1) No(3)
- S F F+S
x 5x 6x
S/F=1/5
Ts/Tf=5/1 i.e.50/10
S F S+F
Time 50 10 8.33
Rate 1 5 6
Work 50(lcm)
Ans:8.33 - 12 years agoHelpfull: Yes(0) No(1)
- if father does a work in x days, son takes 5x days.
diff = 4x =40
so, x=10 and 5x= 50
in one day father does 1/10 work and son does 1/50 work.
together (1/10 + 1/50 i.e. 6/50)
so they will take 50/6 days i.e. 8.33 days - 8 years agoHelpfull: Yes(0) No(1)
- x=5(x-40)
x=50
son complete the work in 50 days and father take 10 days for complete the work.....
1/50+1/10=6/50 work done in 1 day if both work together..
so 50/6 days required
- 8 years agoHelpfull: Yes(0) No(1)
- solution:father takes 5x and son takes x
- 8 years agoHelpfull: Yes(0) No(1)
- Time taken is inversely proportional for efficiency.
Since the father is 5 times faster than the son, the time taken by the father and son to complete the work will be in the ratio 1:5.
Let the no. of days be x and 5x.
The father takes 40 days less.
5x-x=40
x=10
If both of them work together,
(10*50)/(10+50)
= 500/60
= 8(1/3) day - 3 years agoHelpfull: Yes(0) No(0)
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