Acar (car a) leaves a gas station and travels along a straight road 200 miles long at a uniform speed of 40 miles per hour. a second car (car b) leaves the station 1/2 hour later and travels along the same road at 55 miles per hour. at what time will car b overtake car a?

Step-by-step explanation:

Let t = hours spent by Car A and

t - ½ = hours spent by Car B

The important point is that both cars have travelled the same distance by the time they meet.

Check:

OK.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: