# Time and Work Questions

Q:

K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ?

 A) 30 days B) 40 days C) 120 days D) 80 days

Explanation:

Given K=4L
$\Rightarrow$ K+L = 4L+L = 5L
These 5L people can complete the work in 24 days, which means L alone can do the work in

$\fn_jvn&space;\small&space;\Rightarrow$24$\times$5=120 days.

Hence, K alone can do the work in $\inline \frac{120}{4}$ = 30 days.

3 71
Q:

K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?

 A) 15 days B) 13 days C) 12 days D) 10 days

Explanation:

In one day work done by K = 1/20
Work done by K in 2 days = 1/10
Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10
Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5
1/5th of the work will be completed at the end of 3 days.
The remaining work = 1 - 1/5 = 4/5
1/5 of work is completed in 3 days
Total work wiil be done in 3 x 5 = 15 days.

3 30
Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

 A) 145 B) 165 C) 175 D) 135

Explanation:

Given that
working days = 5;
working hours = 8;
A man get rupess per hour is Rs.2.40;
So in one day the man get total rupees is 2.40 x 8 = 19.2
So in 5 days week the man get total rupees is 19.2 x 5 = 96
So in 4 week the man get total rupees is 96 x 4 = 384
So the man worked for = 160hours in 4 weeks
But given that the man earned Rs.432
Hence remaning money is (432-384 = 48)which is earn by doing overtime work
Overtime hours is = 48/3.20 = 15
So total worked hours is = 15 + 160 = 175.

3 16
Q:

A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ?

 A) 3 days B) 26/3 days C) 13/4 days D) 24/5 days

Explanation:

we know that m1 x d1 = m2 x d2
=> 4 x 6 = 5 x d
where d = no. of days taken by 5 men to paint
d = 24/5 days.

3 15
Q:

Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?

 A) 3 days B) 2 days C) 6 days D) 12 days

Explanation:

From the given data,
12 children 16 days work,
One child’s one day work = 1/192.