In a marathon race Cooper is running out front, running due north at a speed of

Question

In a marathon race Cooper is running out front, running due north at a speed of 4.0m/s. Grnat is behind him running due north at a speed of 4.4m/s. How long does it take for Grant to pass Cooper? A hunter wishes to cross a river that is 1.5km wide and that flows with a speed of 5.0km/h. The hunter usaea a small powerbaot that moves a maximum speed of 12km/h with respect to the water. What is the minimum time necessary for crossing? In a marathon race Cooper is running out front, running due north at a speed of 4.0m/s. Grnat is behind him running due north at a speed of 4.4m/s. How long does it take for Grant to pass Cooper? A hunter wishes to cross a river that is 1.5km wide and that flows with a speed of 5.0km/h. The hunter usaea a small powerbaot that moves a maximum speed of 12km/h with respect to the water. What is the minimum time necessary for crossing?

Explanation / Answer

You can say that the time spent running is equal to t. Then you set the distance equations for both Cooper and Grant equal to each other. 4.00 m/s x (t) s = (4.50 m/s x (t) s) - 95 m The -95 is because Grant is 95 m behind Cooper at the start of the time interval we are trying to determine. Using algebra we see that t is equal to 190 s We can check this answer by determing how far each has ran after 190 s 4.00 m/s x 190 s = 760 m (4.50 m/s x 190 s) - 95m = 760 m Since they have traveled the same distance, 190 seconds is the time at which they meet.

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