Question

A car is 240 miles fro NY. A lorry is 180 miles from NY.
Two hours later the ratio of the distance is exactly the same. The car is 120 miles from NY. It the ratio remains the same for the entire journey, which vechicle if any arrives first?

Answer 1

Anyone?

Answer 2

The car was 240 miles from NY when the lorry was 180 miles from NY.
Two hour later,
the car was 120 miles from NY. Where is the lorry now?

Answer 3

90 miles?

Answer 4

Correct. Since we are told the ratio remains the same, and the car traveled half of 240 miles, then the lorry traveled half of 180 miles, or 90 miles.

Answer 5

Now we see that in the two hours of travel, the car went 120 miles, and the lorry went 90 miles.

Answer 6

What are the speeds in mph for 120 miles in 2 hours, and for 90 miles in 2 hours?

Answer 7

D they arive at the same time as the ration is 4:3?

Answer 8

Do they arive at the same time as the ration is 4:3?

Answer 9

Yes.
The car is going 60 mph. The lorry is going 45 mph.
The ratio of the distances is the same as the ratio of the speeds so they arrive at the same time.
240 miles to 180 miles is a ratio of 4:3
60 mph to 45 mph is also a ratio of 4:3

Answer 10

Another way of thinking of it.
Car: 240 miles at 60 mph means: 240 mi/60 mph = 4 hours
Lorry: 180 miles at 45 mph means: 180 mi/45 mph = 4 hours
Both take 4 hours to NY from their original locations, so they arrive at the same time.

Answer 11

Man u guys are smart. Thanks :-)

Answer 12

Thanks, and you're welcome.