Question

At 10 AM, John and Tyler both started running towards each other from opposite ends on a 10-mile path along the river. John runs at a pace of 12 minutes per mile, and Tyler runs at a speed of 15 mph. Will John and Tyler meet on the path within one hour?

a) Yes
b) No

Answer 1

John and Tyler will not meet on the path within one hour. Hence, a) is correct.

Step-by-step explanation:

First, let's calculate the time it would take for John and Tyler to meet. We know that they are running towards each other on a 10-mile path, so the total distance they need to cover is 10 miles.

John's pace is 12 minutes per mile, so it would take him 10 miles * 12 minutes/mile = 120 minutes to complete the distance on his own. Tyler's speed is given in miles per hour (mph), so we need to convert it to minutes per mile.

We can do this by taking the reciprocal of Tyler's speed: 1 hour / 15 miles = 4 minutes per mile. Therefore, it would take Tyler 10 miles * 4 minutes/mile = 40 minutes to complete the distance on his own.

To determine if they will meet within one hour, we can add their individual times together: 120 minutes + 40 minutes = 160 minutes. This is greater than one hour, which is 60 minutes. Therefore, John and Tyler will not meet on the path within one hour.