A van leaves town x at 6:45am and travels towards town y ,400km away at an average speed of 80km/hr.At 8:00am a truck left y for x at an average speed of 60 km/hr.at what time will the two meet.

Hint:

Meeting time for two travelling towards each other is the distance divided by the sum of the speeds.

So at 8 am, x had travelled 80*(1.25hours)=100 km. He was then 400-100=300 km away from y when the truck left y for x.

To find out at what time the van and the truck will meet, we need to determine the time it will take for each vehicle to travel the distance between the towns.

First, let's find out the time it takes for the van to travel the distance between the towns. The distance between town X and town Y is 400 km, and the van's average speed is 80 km/hr. Using the formula time = distance / speed, we can calculate:

Time taken by the van = 400 km / 80 km/hr = 5 hours

Next, let's find out the time it takes for the truck to travel the distance between the towns. The truck's average speed is 60 km/hr, and it departed at 8:00 am. Since the van left at 6:45 am, the time difference between their departures is 1 hour and 15 minutes.

Converting the 1 hour and 15 minutes into hours, we get:

1 hour + (15 minutes / 60 minutes) = 1.25 hours

Finally, we add the time taken by the van and the time difference to find out when the van and truck will meet:

Time when they meet = Time taken by the van + Time difference
= 5 hours + 1.25 hours
= 6.25 hours

So, the van and truck will meet 6.25 hours after the van departed. Adding this time to the van's departure time of 6:45 am, we can determine when they will meet:

6:45 am + 6.25 hours = 1:00 pm

Therefore, the van and truck will meet at 1:00 pm.