sherxon
A large ship moving at 14 mph in the river has an investigator cater swimming beside it. Investigator cater sets out to survey 70 miles downstream in the direction that the ship is headed. If the cater's speed is 28 mph, how much time will the cater spend surveying and coming back to the ship?
A. 2 hours 30 minutes
B. 2 hours 45 minutes
C. 3 hours 15 minutes
D. 3 hours 20 minutes
E. 3 hours 40 minutes
I. Investigator cater ?? : Something say A
@ 28 mph, it will travel 70 miles in 2.5 hours or 2 hours and 30 minutes.
II. Ship, say B
In 2.5 hours, B has also traveled 14*2.5 or 35 miles
14 mph.
Distance between A and B is 70-35 or 35 miles.
When both travel towards each other, combined speed = 14+28 = 42 mph.
They will cover 35 miles in \(\frac{35}{42}*60=50\) minutes.
Total 2 hour 30 minutes + 50 minutes = 3 hours 20 minutes.
D