Question

FAST PLEASE I AM PANICKING

TIME REMAINING ON TEST: 31 MINUTES


Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same roof in 18 hours. How long will it take them working together to shingle the roof? Round your answer to the nearest hundredth if necessary. Show work.

Answer 1

im my opionion i would say 7.875 or 7.9 hours with thme working together combined thats my estimate dont hate me if its wrong ;|

Explanation:

Answer 2

If Bob can do it alone in 14 hours then he can do 1/14 of the job each hour

James can do 1/18 of the job each hour.

let x = time it takes them working together

then

x/14 + x/18 = 1 (this statement says that the number of hours x times Bob's rate and James's rate added will give 1 or the full job

18x + 14x = 252

32x = 252

x = 7.875 hours (time to finish when working together