Friday

October 24, 2014

October 24, 2014

Posted by **hayley** on Tuesday, December 18, 2007 at 6:01am.

the number of hours (h) taken to paint a picture is inversely proportional to th number of pupils (p) painting it. it takes 4 pupils 3 hours to finish painting it assuming all pupils work at the same rate.

a) find an equation connecting h and p

is this correct? : h=-kp

b) find how much longer it would take if one of the pupils is not painting.

(i'm not sure how to do)

c) find the additional number of pupils required if the painting is to be completed in 2 hours.

i would appreciate if you could explain detailedly with the help of workings! thanks!

- maths, variations -
**drwls**, Tuesday, December 18, 2007 at 8:02ama) No. h = k/p

3 = k/4

k = 12

h = 12/p

b) Change p from 4 to 3 in the equation aboveand you get

h = 4 hours

c) If you want h to be 2 hours, plug in h =2 in the h=12/p equation and see what you get for p. Subtract 4 from that to get the number of additional pupils

**Answer this Question**

**Related Questions**

maths, variations checking! - question: given that y is inversely proportional ...

math - A man can paint a fence in 8 hours. Another man can paint that fence in ...

Math - I seem to be having problems setting up Linear Programming questions. For...

Math - Jim is paid overtime when he works more than 40 hours of per week. Write ...

maths - can you explain to me how to do this question i know i have to use ...

Maths - The Wellbuilt Company produces two types of wood chippers, Deluxe and ...

Inverse Variation - Help me please.. Explain also :( 1. E is inversely ...

physics - For a particular type of wave in a particular medium why must f and ...

math - 10. A house painter can finish a house in 6 hours. His partner can finish...

Math - There are 21 pupils who study Maths, 29 pupils who study french, 26 ...