Question

It takes Asanji eight hours to harvest a field. Ted can harvest the same field in 15 hours. Find how long it would take them if they worked together.

A. 5.65 hours
B. 6 hours
C. 6.75 hours
D. 7.5 hours

Answer 1

It would take Asanji and Ted approximately 5.217 hours to harvest the field if they worked together.

Step-by-step explanation:

To find out how long it would take Asanji and Ted to harvest the field if they worked together, we can use the formula:

1/Time taken by Asanji + 1/Time taken by Ted = 1/Time taken when they work together

Substituting the given values:

1/8 + 1/15 = 1/Time taken when they work together

Simplifying the equation:

15/120 + 8/120 = 1/Time taken when they work together

23/120 = 1/Time taken when they work together

To solve for Time taken when they work together, we take the reciprocal of both sides of the equation:

Time taken when they work together = 120/23 = 5.217 hours

Therefore, it would take Asanji and Ted approximately 5.217 hours to harvest the field if they worked together.