Time and Work Shortcut with examples

Time and Work

A can do a piece of work in 5 days, and B can do it in 6 days. How long will they take if both work together?

 

A’s 1 day’s work  = \frac { 1 }{ 5 } th part of whole work and

B’s 1 day’s work \frac { 1 }{ 6 } th part of whole work

(A+B)’s one day’s work =\frac { 1 }{ 5 } +\frac { 1 }{ 6 } =\frac { 11 }{ 30 } th part of whole work. so, both together will finish the work in

\frac { 30 }{ 11 } days=2\frac { 8 }{ 11 }

By Direct Formula

A+B can do the  work in \frac { 5x6 }{ 5+6 } days=\frac { 30 }{ 11 } =2\frac { 8 }{ 11 }

Two men, Vikas and Vishal, working separately can mow a field in 8 and 12 hours respectively. If they work in stretches of one hour alternately, Vikas beginning at 8 a.m, when will the mowing be finished?

 

In the first hour, Vikas mows\frac { 1 }{ 8 }  of the field.

In the second hour, Vishal mows \frac { 1 }{ 12 } of the field

in the first two 2 hours \frac { 1 }{ 8 } +\frac { 1 }{ 12 } =\frac { 5 }{ 24 } of the field is mown

In 8 hours \frac { 5 }{ 24 } x4=\frac { 5 }{ 6 } of the field is mown

 

Now, Time and Work Shortcut with examples 1 of the field remains to be mown

in the 9th hour, vikar mows \frac { 1 }{ 8 } of the field

Remaining work = \frac { 1 }{ 6 } -\frac { 1 }{ 8 } =\frac { 1 }{ 24 }

Vishal will finish the remaining work in Time and Work Shortcut with examples 1

or  \frac { 1 }{ 2 } of an hour

The total time required is Time and Work Shortcut with examples 1

Thus the work will be finished at Time and Work Shortcut with examples 1

Download Your Free Ebook TIME AND WORK

[Locker] The locker [id=62] doesn't exist or the default lockers were deleted.

Buy Recommended Book

Get 100% cashback on Recharge

Get 100% cashback on Recharge

Buy Now
Vcommission.com
as of August 25, 2018 11:30 pm

TnC: Valid on successful Recharges/Bill Payments done till 7th Jan 2017. Applicable for New users only.No Minimum Recharge/bill payment amount. Max cashback of Rs.55. JAN55 Promocode has to be applied to avail cashback offer.Valid only Once per New User/Credit/Debit Card/Mobile Number.

The Flipkart Fashion Sale

The Flipkart Fashion Sale

Buy Now
Flipkart.com
as of August 25, 2018 11:30 pm
Buy LeEco Le2 (32GB) at Rs.11,999

Buy LeEco Le2 (32GB) at Rs.11,999

Rs. 11,999
Buy Now
Snapdeal.com
as of August 25, 2018 11:30 pm

Leave a Reply

Close Menu