# A car and a truck were traveling to Town Q at constant average speeds.

#### srk

##### New member
Original post and response from June of 2015 are in the quotes below:

A car and a truck were traveling to Town Q at constant average speeds. The car overtook the truck when they were 420 km from Town Q. The car arrived at Town Q at 6:30 p.m. while the van was still 120 km away from Town Q. The van arrived at Town Q at 8:30 p.m. What was the average speed of the car?
You don't know when they started, but that's okay, because you know they were at the same point when the car caught up to the truck. Also, the fact that the car "overtook" and arrived first tells you which vehicle was faster.

The general methodology for this sort of exercise is fairly straightforward. (link)

In this case, things are actually simpler. You are given that the car covered 420 kilometers by a certain time. The truck had covered only 420 - 120 = 300 km in that same time, and required another two hours to cover the remaining 120 km. If it took two hours to cover 120 km, what was the truck's rate, in kph?

Given this rate of speed, how long, in total, did the truck take to cover the entire 420 km? Then at what time were the car and the truck side-by-side on the freeway?

Then at what time did the car meet up with the truck? So how long did the car take to cover the 420 km? Then what was the car's rate of speed?

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#### srk

##### New member
You don't know when they started, but that's okay, because you know they were at the same point when the car caught up to the truck. Also, the fact that the car "overtook" and arrived first tells you which vehicle was faster.

The general methodology for this sort of exercise is fairly straightforward. (link)

In this case, things are actually simpler. You are given that the car covered 420 kilometers by a certain time. The truck had covered only 420 - 120 = 300 km in that same time, and required another two hours to cover the remaining 120 km. If it took two hours to cover 120 km, what was the truck's rate, in kph?

Given this rate of speed, how long, in total, did the truck take to cover the entire 420 km? Then at what time were the car and the truck side-by-side on the freeway?

Then at what time did the car meet up with the truck? So how long did the car take to cover the 420 km? Then what was the car's rate of speed?

SO far i have the speed of truck to be 120/2 is 60 kmph. time taken by truck to cover 420 kms is 7hrs...

#### stapel

##### Super Moderator
Staff member
SO far i have the speed of truck to be 120/2 is 60 kmph. time taken by truck to cover 420 kms is 7hrs...
Okay. The steps were provided, as so:

1. You are given that the car covered 420 kilometers by a certain time. The truck had covered only 420 - 120 = 300 km in that same time, and required another two hours to cover the remaining 120 km. If it took two hours to cover 120 km, what was the truck's rate, in kph?

2. Given this rate of speed, how long, in total, did the truck take to cover the entire 420 km?

3. Then at what time were the car and the truck side-by-side on the freeway?

4. Then at what time did the car meet up with the truck?

5. So how long did the car take to cover the 420 km?

6. Then what was the car's rate of speed?

You have answered steps (1) and (2).

You are given, in the exercise, that the car and the truck were side-by-side on the freeway when they were 420 miles from Town Q. You are given that the truck reached Town Q at 8:30pm. You have found the number of hours that the truck took to cover the 420 miles. So at what time had the two vehicles been side-by-side on the freeway? (Hint: Subtract)