On a river, C is the mid-point between two points A and B on the same bank of the river. A boat can go from A to C and back in 14 hours and from A to B in 24 hour. How long it would take to go from B to A?

Question: On a river, C is the mid-point between two points A and B on the same bank of the river. A boat can go from A to C and back in 14 hours and from A to B in 24 hour. How long it would take to go from B to A?

Solution:
Time required to travel from A to B = 24 hour
Time required to travel from A to C = 1/2 (24 hours)
= 12 hour
Given total time from A to C and C to A = 14h
∴ 12 hour + C to A = 14h
∴ C to A = 2 hour
Time taken from B to A is twice of C to A
then, time taken from B to A = (2 × 2) hour
= 4 hours