The distance between two towns P and Q is 390 km. John left town P at 7:30 am and travelled towards town Q at an average speed of 60 km/hr. Half an hour later Patrick left town Q and travelled towards town P at the same speed. At what time did they meet?
* please guys assist me this question**
velocity=distance/time
to find the time patrick reached
sorry john
its more physics than math, anyways, i guess but im not sure
since patrick left after 30 min,
u need to add 30 min on johns arrival time.
when Patrick left (at 8:00 am), John had traveled 30 km
... so the distance between them was 360 km
they are closing the distance at 120 kph
how long 'til they meet?
what time is it?
i used to take that material last year ,now i forgot it, sorry
time taken by John --- t hours
time taken by Pt = t - 1/2
distance covered by John = 60t km
distance covered by Pat = 60(t-1/2) = 60t - 30
60t + 60t - 30 = 390
120t =420
t = 3.5 hrs
finish it up
To solve this question, we will first find out how far John traveled before Patrick started.
John left town P at 7:30 am and traveled for half an hour at an average speed of 60 km/hr. So, the distance covered by John in that half an hour is calculated as:
Distance = Speed Γ Time
Distance = 60 km/hr Γ 0.5 hr
Distance = 30 km
Now, let's determine the remaining distance between the two towns after John traveled those 30 km.
Remaining distance = Total distance - Distance traveled by John
Remaining distance = 390 km - 30 km
Remaining distance = 360 km
Since Patrick is traveling toward town P at the same speed as John (60 km/hr), the time it takes for Patrick to cover the remaining distance is calculated as:
Time = Distance / Speed
Time = 360 km / 60 km/hr
Time = 6 hours
Adding this 6 hours to the half-hour delay from town P, we get the total time required for Patrick to reach the meeting point:
Total time = Time taken by Patrick + Delay from town P
Total time = 6 hours + 0.5 hours
Total time = 6.5 hours
Now, we need to find the time at which they meet. As John left town P at 7:30 am, we can add the total time to get the meeting time:
Meeting time = Departure time from town P + Total time
Meeting time = 7:30 am + 6.5 hours
Meeting time = 2:00 pm
Therefore, John and Patrick will meet at 2:00 pm.