Q:

two trucks leave a factory at the same time. one travels east 60 miles per hour, and the other travels west at the 39 miles per hour. in how many hours will they be 150 miles apart?

Accepted Solution

A:
Answer:Both trucks are 150 miles after 1.516 hoursSolution:Given, Two trucks leave a factory at the same time.  one travels east 60 miles per hour, and the other travels west at the 39 miles per hour.  We have to find In how many hours will they be 150 miles apart? Let the time after which they will be 150 miles apart be t. Now, we know that, distance = speed x time. For 1st truck ⇒ distance from factory = 60 x t For 2nd truck ⇒ distance from factory = 39 x t Here, t is same for both trucks as time is seen from common point of view. Now, according to the given information,  distance of 1st truck from factory + distance of 2nd truck from factory = 150 miles. 60t + 39t = 150 99t = 150 t = 1.516 approximately. Hence, both trucks are 150 miles after 1.516 hours.