Answer:
6 hours 45 minutes
Step-by-step explanation:
Let the time taken by Mr Caldwell to reach the same point as Mrs Caldwell =t
Mr Caldwell's Average Speed=45mph
Distance covered by Mr Caldwell = Speed X Time =45t
Mrs Caldwell left 3 hours later, so her time=t-3
Mrs Caldwell's Average Speed=65mph
Distance covered by Mrs Caldwell = Speed X Time =65(t-3)
Since they will be at the same point, it means their distance from starting point is the same, therefore:
45t=65(t-3)
45t=65t-195
65t-45t=195
20t=195
t=9.75 hours
It will take (t-3) hours to catch Mr Caldwell
t-3 = 9.75 - 3 =6.75 hours=6 hours 45 minutes
It will take 6 hours 45 minutes for Mrs Caldwell to catch Mr Caldwell
