Answer:
It would take Farmer John 10 hours on his own to till his field.
Step-by-step explanation:
Let;
J = Time spent by John alone
B = Time spent by Bob alone = 1.5 * J = 1.5J
Time spent by both = 6
Using reciprocal, time spent by John alone can be calculated as follows:
(1 / J) + (1 /1.5J) = 1 / 6
Multiply through by 6J and solve for J, we have:
(6J / J) + (6J / 1.5J) = 6J / 6
6 + (6 / 1.5) = J
J = 6 + 4 = 10
Therefore, it would take Farmer John 10 hours on his own to till his field.
