Work Rate and Cost Problems

The video tutorial covers solving word problems related to work and cost. It begins with an introduction to work problems, followed by detailed solutions to specific problems involving Ganesh and John, Tinu and his father, and a cost problem about bananas. The tutorial demonstrates how to set up equations based on given conditions and solve them using algebraic methods.

If John can complete a task in x days, how much work does he complete in one day?

• x work

• 1/x work

• x+1 work

• x-1 work

Ganesh takes 10 days more than John to complete a task. If John takes x days, how many days does Ganesh take?

• x days

• x+10 days

• 10x days

• x-10 days

If Ganesh and John together complete a task in 12 days, what is their combined work rate per day?

• 1/12

• 12

• 12x

• x+12

What equation represents the combined work rate of Ganesh and John?

• 1/x - 1/(x+10) = 1/12

• 1/x + 1/(x+10) = 1/12

• x + (x+10) = 12

• x/(x+10) = 12

After solving the equation, how many days does Ganesh take to complete the work alone?

• 30 days

• 10 days

• 20 days

• 12 days

Tinu takes 9 days more than his father to complete a task. If his father takes x days, how many days does Tinu take?

• x-9 days

• 9x days

• x+9 days

• x days

If Tinu and his father together complete a task in 6 days, what is their combined work rate per day?

• 1/6

• 6

• x+6

• 6x

What equation represents the combined work rate of Tinu and his father?

• x/(x+9) = 6

• x + (x+9) = 6

• 1/x + 1/(x+9) = 1/6

• 1/x - 1/(x+9) = 1/6

After solving the equation, how many days does Tinu take to complete the work alone?

• 15 days

• 6 days

• 9 days

• 18 days

If the cost of bananas increases by 1 rupee per dozen, how many fewer dozens can be bought for 840 rupees?

• 4 dozens

• 3 dozens

• 2 dozens

• 1 dozen