Question

A carpenter has less than 120 min. to spend painting furniture each day. Today, he has spent 30.5 min. painting a desk. Now he will paint x chairs, each of which takes 12.5 min.

What is the maximum number of chairs the carpenter can paint?

A, 7
B, 8
C, 12
D, 13

Answer 1

most
assume 120 mins

30.5 spent
120=30.5=89.5 left

time/timeperdesk=number of desks
89.5/12.5=7.16

less
7 desks


A

Answer 2

Hence, a carpenter can paint a maximum of 7 chairs.

Hence, option A is correct.

Explanation:

A carpenter has less than 120 min. to spend painting furniture each day.

Today, he has spent 30.5 min. painting a desk.

Now he will paint x chairs, each of which takes 12.5 min.

i.e. he will take a total of 12.5x minutes in painting 'x' chairs.

Also total time spent on painting furniture each day will be equal to time spent on painting a desk and all of the chairs.

Hence,

30.5+12.5x<120 (since the total time he spends on painting is less than 120 mins.)

⇒ 12.5 x<120-30.5

⇒ 12.5 x<89.5

⇒ x<7.16 ( on dividing both side of the inequality with 12.5)

Hence, a carpenter can paint a maximum of 7 chairs.