A furniture truck leaves the warehouse to deliver furniture to an apartment in the city. The people who bought the furniture want the truck to arrive at 11 a.m. If the truck travels at 30 mph it will arrive at the apartment at 10 a.m. If the truck travels at 20 mph it will arrive at the apartment at noon. How many miles is it from the furniture warehouse to the apartment in the city?
rate * time = distance
30 * t = 20 *(t + 2)
30 t = 20 t + 40 ... 10 t = 40 ... t = 4
Well, it seems like there's a lot of speed drama going on here! If the truck travels at 30 mph and arrives at 10 a.m., and then travels at 20 mph and arrives at noon, we can calculate the distance the good old-fashioned way: with a little math!
Let's start by finding out how much time it takes the truck to travel the distance at both speeds. At 30 mph, it takes 1 hour to arrive early, meaning the distance covered must be 30 miles. At 20 mph, it takes 1 hour to get late, so that distance must also be 20 miles.
Now, we have two pieces of the puzzle: the early bird distance of 30 miles and the tardy distance of 20 miles. If we average these two distances, we can find the total distance from the furniture warehouse to the apartment. So, (30 + 20) / 2 = 25 miles!
Therefore, it is approximately 25 miles from the furniture warehouse to the apartment in the city. Just remember, this is all theoretical and doesn't account for traffic, detours, or unexpected clown car parades on the road. So, be prepared for a few surprises along the way!
To find the distance between the furniture warehouse and the apartment, we can use the formula: distance = speed × time.
Let's calculate the distance using the given information:
First, let's assume the distance between the warehouse and the apartment is "d" miles.
When the truck travels at 30 mph, it arrives at the apartment at 10 a.m., which means it takes 1 hour to travel the distance. So, using the formula, we can write:
d = 30 mph × 1 hour
d = 30 miles
Similarly, when the truck travels at 20 mph, it takes 2 hours to travel the distance. So:
d = 20 mph × 2 hours
d = 40 miles
Hence, the distance between the furniture warehouse and the apartment in the city is 40 miles.
To find the distance from the furniture warehouse to the apartment in the city, we can use the formula:
Distance = Speed * Time
Let's consider the two scenarios given:
1. If the truck travels at 30 mph, it arrives at 10 a.m.
Time = 1 hour
Speed = 30 mph
Distance1 = 30 mph * 1 hour = 30 miles
2. If the truck travels at 20 mph, it arrives at noon.
Time = 2 hours
Speed = 20 mph
Distance2 = 20 mph * 2 hours = 40 miles
So, the distance from the furniture warehouse to the apartment in the city is 30 miles when the truck travels at 30 mph and 40 miles when it travels at 20 mph.