Mathematics: A ship enters the north end of Red Sea from the Suez Canal moving south at 17.4 mi/h. Two hours later a second ship enters the Red Sea at the southern end, moving north at 21.8 mi/hr. If the Red Sea is 1390 miles long, when will the ships pass?

-10 -15Step-by-step explanation:...

A ship enters the north end of Red Sea from the Suez

lisapcarroll

20.01.2022

The ships will pass after 34.57 hours

Step-by-step explanation:

Given,

Speed of ship A = 17.4 miles per hour

Distance covered by ship A in two hours = Speed * Time = 17.4 * 2 = 34.8 miles

Let,

t be the time.

Distance traveled by ship A = 17.4t + 34.8

Speed of ship B = 21.8 miles per hour

Distance covered by ship B = 34.8t

Distance of Red Sea = 1390 miles

Now;

Distance of ship A + Distance of ship B = 1390

$(17.4t+34.8) + 21.8t = 1390\\17.4t+34.8+21.8t=1390\\39.2t=1390-34.8\\39.2t=1355.8$

Dividing both sides by 39.2

$\frac{39.2t}{39.2}=\frac{1355.8}{39.2}\\t=34.57$

The ships will pass after 34.57 hours

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