City a and city b are 420 miles apart. John leaves city b driving towards city a at an average rate of 60 miles per hour. Pat leaves city A and the same time driving towards city b in her antique auto averaging 24 miles per hour how long will it take them to meet

Given Information:

Distance between city a and city b = 420 miles

John's speed = 60 miles/hr

Pat's speed = 24 miles/hr

Required Information:

How long will it take them to meet = ?

Answer:

it will take John and Pat 5 hours to meet

Step-by-step explanation:

We know that speed is given by

Speed = Distance/time

or

Distance = speed*time

The distance that John has to cover = 60t miles

The distance that Pat has to cover = 24t miles

The total distance between them is 420 miles so

60t + 24t = 420

84t = 420

t = 420/84

t = 5 hours

Therefore, it will take John and Pat 5 hours to meet.

Verification:

Distance covered by John = 60*5 = 300 miles

Distance covered by Pat = 24*5 = 120 miles

Total distance between them = 300 + 120 = 420 miles