1). 5 hrs2). 8 hrs3). 6 hrs4). 9 hrs

1.	1). 5 hrs2). 8 hrs3). 6 hrs4). 9 hrs
Answer» X can do a WORK in = 15 HOURS ∴ In 1 HOUR X can do = 1/15 ∴ In 5 hours X can do = 5/15 = 1/3 ∴Remaining work = 1 – 1/3 = 2/3 In 5 hours y can do = 2/3 ∴In 1 hour Y can do = 2/15 Let, they together complete the work in = a hour According to the problem, $( \Rightarrow \;a\LEFT( {\frac{1}{{15}} + \frac{2}{{15}}} \right) = 1)$ $( \Rightarrow \;a\left( {\frac{{1 + 2}}{{15}}} \right) = \;1)$ $( \Rightarrow \;a\;\left( {\frac{3}{{15}}} \right) = 1)$ $( \Rightarrow \;a = \;\frac{{15}}{3})$ $( \Rightarrow \;a = 5)$ ∴ They together complete the work in 5 hours.

Answer»

X can do a WORK in = 15 HOURS

∴ In 1 HOUR X can do = 1/15

∴ In 5 hours X can do = 5/15 = 1/3

∴Remaining work = 1 – 1/3 = 2/3

In 5 hours y can do = 2/3

∴In 1 hour Y can do = 2/15

Let, they together complete the work in = a hour

According to the problem,

$( \Rightarrow \;a\LEFT( {\frac{1}{{15}} + \frac{2}{{15}}} \right) = 1)$

$( \Rightarrow \;a\left( {\frac{{1 + 2}}{{15}}} \right) = \;1)$

$( \Rightarrow \;a\;\left( {\frac{3}{{15}}} \right) = 1)$

$( \Rightarrow \;a = \;\frac{{15}}{3})$

$( \Rightarrow \;a = 5)$

∴ They together complete the work in 5 hours.

Discussion

No Comment Found

Related InterviewSolutions

A can do a work in 9 days, if B is 50 % more efficient than A, then in how many days can B do the same work ?1). 13.5 days2). 4.5 days3). 6 days4). 3 days
10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ?1). 6 days2). 10 days3). 12 days4). 15 days
1). 5 hrs2). 8 hrs3). 6 hrs4). 9 hrs
6 men and 8 women can do a work in 10 days. Then 3 men and 4 women can do the same work in1). 24 days2). 20 days3). 12 days4). 18 days
A and B together can do a piece of work in 10 days. A alone can do it in 30 days. The time in which B alone can do it is1). 10 days2). 12 days3). 15 days4). 20 days
Two workers Anushka and Kriya working together completed a job in 4 days. If Anushka worked two-third times as efficiently as she actually did and Kriya worked one-sixth as efficiently as she actually did, the work would have been completed in 8 days. To complete the job alone, Anushka would require1). 12 days2). 6 days3). 8 days4). 9 days
A tank can be filled using pipe A and emptied using pipe B. Pipe B can empty the tank in 12 hrs. When both the pipes are simultaneously opened, the tank is half full in 2 hrs. In how much time can pipe A fill the tank alone?1). 2 hrs.2). 3 hrs.3). 4 hrs.4). 6 hrs.
1). 652). 723). 454). 60
1). 1602). 1503). 1304). 175
A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid Rs. 960 for the whole work how much money A gets?1). Rs. 4802). Rs. 2403). Rs. 3204). Rs. 400