Ritika is a painter and can complete the Portrait of a customer in 15 days by painting 4 hours a day. But the customer wants the Portrait in 10 days only. How many hours should Ritika paint the Portrait to complete the order on time?
Ritika is a painter and can complete the Portrait of a customer in 15 days by painting 4 hours a day. But the customer wants the Portrait in 10 days only. How many hours should Ritika paint the Portrait to complete the order on time? Correct Answer 6 hours
Given:
The initial number of working days = 15 days
The initial number of working hours = 4 hours
The final number of working days = 10 days
Concept:
For a given amount of work, the number of working days is inversely proportional to the number of working hours, i.e. when working days increase then working hours decrease and vice - versa.
Formula used:
(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2
Where,
M1, M2 = Number of men,
D1, D2 = Number of days,
H1, H2 = Number of hours,
W1, W2 = Work Done
Calculation:
We know that (M1 × D1 × H1)/W1 = (M2 × D2 × H1)/W1
Here D1 = 15, H1 = 4, D2 = 10
& M1 and M2 would be 1 as there is only one person and W1 and W2 would also be 1 because there is only one portrait.
So, (M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W1
⇒ (1 × 15 × 4)/1 = (1 × 10 × H2)/1
⇒ H2 = (15 × 4)/10
⇒ H2 = 60/10
⇒ H2 = 6 hours
∴ Ritika should paint the portrait 6 hours each day to complete the order on time.
Important Points
Put the values of Number of days, work, hours and men in the formula very carefully as even a single mistake will lead us to the wrong answer.
