Reliance Jio Time & Work Quiz 1

Total work done by Akshay, Surajl and Rajesh in 1 day =
\left \{ \left ( \frac{1}{20} \right ) + \left ( \frac{1}{30} \right ) + \left ( \frac{1}{60} \right )\right \} = \frac{1}{10}
Work done along by Akshay in 2 days = \frac{1}{20} * 2 = \frac{1}{10}
Work Done in 3 days (1 day of all three together + 2 days of Akshay's work)
= \frac{1}{10} + \frac{1}{10}
= \frac{1}{5}
So, work done in 3 days = \frac{1}{5}
Time taken to complete the work =5*3 = 15 days

Total work done by Vanshika and Tarun = \left \{ \left ( \frac{1}{6} \right )+\left ( \frac{1}{8} \right ) \right \}
= \frac{7}{24}
Work done by Akaash in 1 day = \left ( \frac{1}{3} \right ) - \left ( \frac{7}{24} \right )
=\frac{1}{24}
Amount distributed between each of them = \left ( \frac{1}{6} \right ):\left ( \frac{1}{8} \right ):\left ( \frac{1}{24} \right ) = 4:3:1
Amount paid to Akaash = \frac{1}{24} * 3 * 3200
= Rs.2400

Let the days taken by Arav to complete the work be x
The ratio of time taken by Arun and Dev = 130:100 = 1.3
1.3 :: 20:x
⇒ x = \left \{ \left ( \frac{4*20}{5} \right ) \right \}
⇒ x = 15

Time taken by Anil = x days
Time taken by Bushan = \frac{x}{2} days
Time Taken by Charu = \frac{x}{3} days
⇒ \left \{ \left ( \frac{1}{x} \right ) + \left ( \frac{2}{x} \right ) + \left ( \frac{3}{x} \right ) \right \} = \frac{1}{2}
⇒ \frac{6}{x} = \frac{1}{2}
⇒ x = 12
Time taken by Bhushan = \frac{x}{2} = \frac{12}{2} = 6 days

Let the work done by Sonam in 1 day be x
Let the work done by Priya in 1 day be y
Then, x + y = \frac{1}{30} ——— (1)
⇒ 16*x + 44*y = 1 ——— (2)
Solving equation (1) and (2),
x = \frac{1}{60}
y = \frac{1}{60}
Thus, Priya can complete the entire work in 60 day.

Akaash's 1 day work = \frac{1}{11} , Bimla`s 1 day work = \frac{1}{15}
∴ (Akaash+Bimla) 1 day work
= \left ( \frac{1}{11} + \frac{1}{15}\right ) = \frac{26}{165}
Both cooperating can complete it in \frac{165}{26} days

(Akaash+Bimla)'s 1 day work = \frac{1}{12} ,
Akaash's 1 day work = \frac{1}{30}
∴ Bimla's 1 day work = \left ( \frac{1}{12} - \frac{1}{30} \right )
= \frac{3}{60} = \frac{1}{20}
Henceforth, Bimla alone can dive the trench in 20 days.

(Mehak+Sejal )'s 5 days work = 5* \left ( \frac{1}{35} + \frac{1}{30} \right )
= (5*\frac{9}{100}) = \frac{13}{42}
Remaining work = (1-13/42) = \frac{29}{42}
\frac{1}{30} work is finished by Sejal in 1 day
\frac{11}{20} work is finished by Sejal in (1*30*\frac{29}{42}) = 21 days

Mansi's 1 days work = \frac{1}{30} ,
Barkha's 1 day work = \frac{1}{40} ,
Proportion of their shares = \frac{1}{30} : \frac{1}{40} = 4:3
Barkha's offer = (7000*\frac{3}{7}) = Rs. 3000

( Manish+Bablu)'s 5 days work = 5* (\frac{1}{10}+ \frac{1}{15})
= (5* \frac{1}{6}) = \frac{5}{6}
Remaining work = \left ( 1-\frac{5}{6} \right ) = \frac{1}{6}
Chaman's 2 days work = \frac{1}{6}
(Manish's 5 day work): (Bablu's 5 day work): (Chaman's 2 days work)
= \frac{5}{10}: \frac{5}{15} : \frac{1}{6}
= 15: 10:5 = 3:2:1
Manish’s offer = \left ( 4500*\frac{3}{6} \right ) = Rs. 2250
Bablu's offer = \left ( 4500*\frac{2}{6} \right ) = Rs. 1500
Chaman's share= \left ( 4500*\frac{1}{6} \right ) = Rs. 750