Question

Mr. Blake took 10 minutes to drive 5 miles,

He claims it will take half an hour to drive 15 more miles at the same rate.

Select all the statements that are true if Mr. Blake claim is true.

1. He will travel 2 miles per minute.

2. Hw would travel 50 miles in 25 minutes.

3. He will travel 1 mile for every 2 minutes.

4. He will travel at a rate of 30 miles per hour.

5. The ratio of miles driven to minutes traveled is 1:2.

Answer 1

The correct answer is - 3, 4, and 5.

Explanation:

Given:

distance = 5 miles

time to cover 5 miles = 10 minutes

If his claim is true then,

additional Distance = 15 miles

total distance will be = 15+5 = 20 miles

additional time = 30 minutes

total time = 10+30 = 40 minutes

Solution:

The speed of the vehicle can be calculated by the formula:

V = d/t

where V is speed or velocity

d = distance

t = time

Putting the final or total values in formula =

V = 20/40

= 1/2 (5th statement is true)

In an hour where 60 minutes are there, 1/2 = 30 miles per hour.

Thus, 3rd and 4th statement are true.