Question

For many years the posted highway speed limit was 88.5 km/h but in recent years some rural stretches of highway have increased their speed limit to 104.6 km/h. In Maine the distance from Portland to Bangor is 215 km. How much time can be saved in making this trip at the new speed limit?

Answer 1

Time Saved = 0.374 h = 22.4 min

Step-by-step explanation:

First we calculate the time required at old speed limit:

s = v₁t₁

where,

s = distance from Portland to Bangor = 215 km

v₁ = old speed limit = 88.5 km/h

t₁ = time taken with old speed limit = ?

Therefore,

215 km = 88.5 km/h (t₁)

t₁ = (215 km)/(88.5 km/h)

t₁ = 2.429 h

Now, we calculate the time taken at the new speed limit:

s = v₂t₂

where,

s = distance from Portland to Bangor = 215 km

v₂ = new speed limit = 104.6 km/h

t₂ = time taken with new speed limit = ?

Therefore,

215 km = 104.6 km/h (t₂)

t₂ = (215 km)/(104.6 km/h)

t₂ = 2.055 h

So, the time saved will be:

Time Saved = t₁ - t₂ = 2.429 h - 2.055 h

Time Saved = 0.374 h = 22.4 min