# A car travels for 40 min at 45 mph. Then travels 145 minutes at 70 mph. Find the total distance.

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Distance traveled is speed*time.

The car travels at 45 mph for 40 minutes.

Distance = 45*(40/60) = 30 miles

It then travels at 70 mph for 145 minutes

Distance = 70*(145/60) = 1015/6 miles = 169.16 miles

The total distance is 30 + 169.16 = 199.16

**The total distance traveled is 199.16 miles.**

We need find the total distance the car traveled.

First, the car travels for a speed of S1 = 45 mph. The time is T1= 40 min.

Let us calculate the distance D1.

First we will convert 40 min to hours.

==> 40 min = 40/60 hours = 2/3 hour

==> D1 = S1*T1 = 45* 2/3 = 30 miles.

Then the car travels for 145 min at a speed of S2 = 70 mph

We will convert time to hours.

==> T2 = 145 min = 145/60 = 29/12 = 2 5/12 hours.

==> D2 = 29/12 * 70 = 169.1666 miles.

Then the total distance the car travels is D1 + D2 = 30+169.166 = 199.166 miles.

**Then the total distance is 199.166 miles**

The distance traveled by a car moving at a speed v mph in 1 minute is v*(1/60) miles.

The car travels for 40 min at 45 mph. The distance covered in this duration of time is 45*(40/60) miles. And traveling at 70 mph for 145 minutes it travels 70*(145/60) miles.

The total distance traveled is 45*(40/60) +70*(145/60) = (1800 + 10150)/60 = 1195/6 miles.