Question

A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45 miles per hour. At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour. How long will the trucks be driving before they meet each other on the road? a) between 1 and 2 hours b) between 2 and 3 hours

c) between 3 and 4 hours d) between 4 and 5 hours

Answer 1

c)

It'll take between 3 and 4 hours.

Explanation:

First, we have 45 mph, and 60 mph.

Now we need to find a common number that can be divided by them both, and turned into a whole number.

180 ÷ 60 = 3

180 ÷ 45 = 4

The answer is how many hours.

Common Number ÷ mph (miles per hour) = How many hours.

Examples:

60 ÷ 30 = 2

60 ÷ 20 = 3

Answer 2

Between 3 and 4 hours.

Explanation:

A company has two warehouses that are 360 miles apart.

A truck leaves Warehouse A and heads towards Warehouse B traveling at 45 miles per hour.

At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour.

Let x be the time of meeting.

Then the equation forms:

`45x=360-60x`

Solve for x;

`60x+45x=360`

=>
`105x=360`

x = 3.42 hours.

That means the correct option will be c) between 3 and 4 hours.