Question

Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling at a constant speed for the next several hours. Four hours after leaving her house Beverly was 200 miles from home.
1. How far did Beverly travel in 1 hour while traveling at a constant speed?
2. How far did Beverly travel in 0.25 hours while traveling at a constant speed?
3. How far did Beverly travel in 1.85 hours while traveling at a constant speed?
4. How long did it take Beverly to travel 35 miles while traveling at a constant speed?
5. How long did it take Beverly to travel 1 mile while traveling at a constant speed?

Answer 1

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = $\frac{(200-20)}{(4-0.5)}$ = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr  at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles  at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

 ⇒ time = distance / speed = 1 mile  / 40 miles/hr

⇒ time = 0.025 hr