Question

it takes eddie 2 hours to shovel the snow from a driveway and sidewalk. brad can shovel the snow from a driveway and sidewalk in 5 hours. how long would it take them working together to shovel the snow

Answer 1

t=1 hour and 26 minutes

Explanation:

If Eddie takes 2 hours to shovel the snow, then he completes 12 of the work per hour. Brad takes 5 hours to shovel the snow, so he completes 15 of the job each hour. Working together, they shovel the snow in t hours. This can be written as

12+15=1t

Multiply each side by the least common denominator, 10t.

10t(12+15)=10t(1t)

Simplify and solve.

5t+2t7tt=10=10=107 hours

Write as a mixed number.

t=137 hours

Multiply the fraction by 60 to convert the fraction of an hour to minutes.

t=1 hours+37(60 minutes)

Round to the nearest minute. They shovel the snow together in

t=1 hour and 25.714 minutes

t=1 hour and 26 minutes

Answer 2

The time required them working together to shovel the snow is T = 1.428 hours

Explanation:

Given data

Time taken by first person to shovel the snow
`T_1` = 2 hours

Time taken by second person to shovel the snow
`T_2` = 5 hours

Time taken by both persons to shovel the snow

`(1)/(T) = (T_1+T_2)/( (T_1) (T_2))`

Put all the values in above equation we get

`(1)/(T) = (2 +5)/((2)(5))`

T = 1.428 hours

Therefore the time required them working together to shovel the snow is T = 1.428 hours